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Finding the Fourth Proportional to 732.76, 1,010.48 and 592.77

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Solution

The fourth proportional to 732.76, 1,010.48 and 592.77 is: 817.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.76 : 1,010.48 = 592.77 : x
  2. Step 2: Convert to fraction form
    732.76/1,010.48 = 592.77/x
  3. Step 3: Cross multiply
    732.76x = 1,010.48 × 592.77
  4. Step 4: Simplify right side
    732.76x = 598,978.66
  5. Step 5: Solve for x
    x = 598,978.66/732.76
  6. Step 6: Final answer
    x = 817.43

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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.