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Finding the Fourth Proportional to 1,370.10, 1,890.78 and 872.76

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Solution

The fourth proportional to 1,370.10, 1,890.78 and 872.76 is: 1,204.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.10 : 1,890.78 = 872.76 : x
  2. Step 2: Convert to fraction form
    1,370.10/1,890.78 = 872.76/x
  3. Step 3: Cross multiply
    1,370.10x = 1,890.78 × 872.76
  4. Step 4: Simplify right side
    1,370.10x = 1,650,197.15
  5. Step 5: Solve for x
    x = 1,650,197.15/1,370.10
  6. Step 6: Final answer
    x = 1,204.44

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,371.10, 1,892.16 and 873.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.