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Finding the Fourth Proportional to 1,487.61, 2,231.80 and 563.18

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Solution

The fourth proportional to 1,487.61, 2,231.80 and 563.18 is: 844.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.61 : 2,231.80 = 563.18 : x
  2. Step 2: Convert to fraction form
    1,487.61/2,231.80 = 563.18/x
  3. Step 3: Cross multiply
    1,487.61x = 2,231.80 × 563.18
  4. Step 4: Simplify right side
    1,487.61x = 1,256,892.56
  5. Step 5: Solve for x
    x = 1,256,892.56/1,487.61
  6. Step 6: Final answer
    x = 844.91

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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.