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Finding the Fourth Proportional to 739.31, 1,020.06 and 542.48

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Solution

The fourth proportional to 739.31, 1,020.06 and 542.48 is: 748.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.31 : 1,020.06 = 542.48 : x
  2. Step 2: Convert to fraction form
    739.31/1,020.06 = 542.48/x
  3. Step 3: Cross multiply
    739.31x = 1,020.06 × 542.48
  4. Step 4: Simplify right side
    739.31x = 553,362.15
  5. Step 5: Solve for x
    x = 553,362.15/739.31
  6. Step 6: Final answer
    x = 748.48

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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.