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Finding the Fourth Proportional to 764.31, 1,053.23 and 542.64

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Solution

The fourth proportional to 764.31, 1,053.23 and 542.64 is: 747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.31 : 1,053.23 = 542.64 : x
  2. Step 2: Convert to fraction form
    764.31/1,053.23 = 542.64/x
  3. Step 3: Cross multiply
    764.31x = 1,053.23 × 542.64
  4. Step 4: Simplify right side
    764.31x = 571,520.10
  5. Step 5: Solve for x
    x = 571,520.10/764.31
  6. Step 6: Final answer
    x = 747.76

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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.