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Finding the Fourth Proportional to 681.54, 1,020.87 and 565.71

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Solution

The fourth proportional to 681.54, 1,020.87 and 565.71 is: 847.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.54 : 1,020.87 = 565.71 : x
  2. Step 2: Convert to fraction form
    681.54/1,020.87 = 565.71/x
  3. Step 3: Cross multiply
    681.54x = 1,020.87 × 565.71
  4. Step 4: Simplify right side
    681.54x = 577,516.37
  5. Step 5: Solve for x
    x = 577,516.37/681.54
  6. Step 6: Final answer
    x = 847.37

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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.