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Finding the Fourth Proportional to 1,461.78, 2,191.05 and 730.35

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Solution

The fourth proportional to 1,461.78, 2,191.05 and 730.35 is: 1,094.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.78 : 2,191.05 = 730.35 : x
  2. Step 2: Convert to fraction form
    1,461.78/2,191.05 = 730.35/x
  3. Step 3: Cross multiply
    1,461.78x = 2,191.05 × 730.35
  4. Step 4: Simplify right side
    1,461.78x = 1,600,233.37
  5. Step 5: Solve for x
    x = 1,600,233.37/1,461.78
  6. Step 6: Final answer
    x = 1,094.72

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.