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Finding the Fourth Proportional to 729.83, 1,006.71 and 468.02

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Solution

The fourth proportional to 729.83, 1,006.71 and 468.02 is: 645.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.83 : 1,006.71 = 468.02 : x
  2. Step 2: Convert to fraction form
    729.83/1,006.71 = 468.02/x
  3. Step 3: Cross multiply
    729.83x = 1,006.71 × 468.02
  4. Step 4: Simplify right side
    729.83x = 471,160.41
  5. Step 5: Solve for x
    x = 471,160.41/729.83
  6. Step 6: Final answer
    x = 645.58

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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.