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Finding the Fourth Proportional to 718.70, 991.09 and 542.09

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Solution

The fourth proportional to 718.70, 991.09 and 542.09 is: 747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.70 : 991.09 = 542.09 : x
  2. Step 2: Convert to fraction form
    718.70/991.09 = 542.09/x
  3. Step 3: Cross multiply
    718.70x = 991.09 × 542.09
  4. Step 4: Simplify right side
    718.70x = 537,259.98
  5. Step 5: Solve for x
    x = 537,259.98/718.70
  6. Step 6: Final answer
    x = 747.54

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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.