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Finding the Fourth Proportional to 739.52, 1,020.36 and 477.49

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Solution

The fourth proportional to 739.52, 1,020.36 and 477.49 is: 658.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.52 : 1,020.36 = 477.49 : x
  2. Step 2: Convert to fraction form
    739.52/1,020.36 = 477.49/x
  3. Step 3: Cross multiply
    739.52x = 1,020.36 × 477.49
  4. Step 4: Simplify right side
    739.52x = 487,211.70
  5. Step 5: Solve for x
    x = 487,211.70/739.52
  6. Step 6: Final answer
    x = 658.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.