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Finding the Fourth Proportional to 1,042.80, 1,563.40 and 631.82

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Solution

The fourth proportional to 1,042.80, 1,563.40 and 631.82 is: 947.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.80 : 1,563.40 = 631.82 : x
  2. Step 2: Convert to fraction form
    1,042.80/1,563.40 = 631.82/x
  3. Step 3: Cross multiply
    1,042.80x = 1,563.40 × 631.82
  4. Step 4: Simplify right side
    1,042.80x = 987,787.39
  5. Step 5: Solve for x
    x = 987,787.39/1,042.80
  6. Step 6: Final answer
    x = 947.25

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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.