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Finding the Fourth Proportional to 600.72, 829.56 and 557.04

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Solution

The fourth proportional to 600.72, 829.56 and 557.04 is: 769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.72 : 829.56 = 557.04 : x
  2. Step 2: Convert to fraction form
    600.72/829.56 = 557.04/x
  3. Step 3: Cross multiply
    600.72x = 829.56 × 557.04
  4. Step 4: Simplify right side
    600.72x = 462,098.10
  5. Step 5: Solve for x
    x = 462,098.10/600.72
  6. Step 6: Final answer
    x = 769.24

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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.