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Finding the Fourth Proportional to 729.55, 1,006.68 and 414.76

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Solution

The fourth proportional to 729.55, 1,006.68 and 414.76 is: 572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.55 : 1,006.68 = 414.76 : x
  2. Step 2: Convert to fraction form
    729.55/1,006.68 = 414.76/x
  3. Step 3: Cross multiply
    729.55x = 1,006.68 × 414.76
  4. Step 4: Simplify right side
    729.55x = 417,530.60
  5. Step 5: Solve for x
    x = 417,530.60/729.55
  6. Step 6: Final answer
    x = 572.31

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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.