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Finding the Fourth Proportional to 1,042.27, 1,563.32 and 631.29

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Solution

The fourth proportional to 1,042.27, 1,563.32 and 631.29 is: 946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.27 : 1,563.32 = 631.29 : x
  2. Step 2: Convert to fraction form
    1,042.27/1,563.32 = 631.29/x
  3. Step 3: Cross multiply
    1,042.27x = 1,563.32 × 631.29
  4. Step 4: Simplify right side
    1,042.27x = 986,912.17
  5. Step 5: Solve for x
    x = 986,912.17/1,042.27
  6. Step 6: Final answer
    x = 946.89

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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.