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Finding the Fourth Proportional to 657.16, 983.85 and 591.55

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Solution

The fourth proportional to 657.16, 983.85 and 591.55 is: 885.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.16 : 983.85 = 591.55 : x
  2. Step 2: Convert to fraction form
    657.16/983.85 = 591.55/x
  3. Step 3: Cross multiply
    657.16x = 983.85 × 591.55
  4. Step 4: Simplify right side
    657.16x = 581,996.47
  5. Step 5: Solve for x
    x = 581,996.47/657.16
  6. Step 6: Final answer
    x = 885.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.