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Finding the Fourth Proportional to 1,461.68, 2,193.12 and 730.85

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Solution

The fourth proportional to 1,461.68, 2,193.12 and 730.85 is: 1,096.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.68 : 2,193.12 = 730.85 : x
  2. Step 2: Convert to fraction form
    1,461.68/2,193.12 = 730.85/x
  3. Step 3: Cross multiply
    1,461.68x = 2,193.12 × 730.85
  4. Step 4: Simplify right side
    1,461.68x = 1,602,830.79
  5. Step 5: Solve for x
    x = 1,602,830.79/1,461.68
  6. Step 6: Final answer
    x = 1,096.57

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.