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Finding the Fourth Proportional to 1,489.27, 2,234.18 and 565.10

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Solution

The fourth proportional to 1,489.27, 2,234.18 and 565.10 is: 847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.27 : 2,234.18 = 565.10 : x
  2. Step 2: Convert to fraction form
    1,489.27/2,234.18 = 565.10/x
  3. Step 3: Cross multiply
    1,489.27x = 2,234.18 × 565.10
  4. Step 4: Simplify right side
    1,489.27x = 1,262,535.12
  5. Step 5: Solve for x
    x = 1,262,535.12/1,489.27
  6. Step 6: Final answer
    x = 847.75

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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.