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Finding the Fourth Proportional to 719.32, 991.52 and 542.02

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Solution

The fourth proportional to 719.32, 991.52 and 542.02 is: 747.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.32 : 991.52 = 542.02 : x
  2. Step 2: Convert to fraction form
    719.32/991.52 = 542.02/x
  3. Step 3: Cross multiply
    719.32x = 991.52 × 542.02
  4. Step 4: Simplify right side
    719.32x = 537,423.67
  5. Step 5: Solve for x
    x = 537,423.67/719.32
  6. Step 6: Final answer
    x = 747.13

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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.