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Finding the Fourth Proportional to 1,010.20, 1,512.17 and 862.60

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Solution

The fourth proportional to 1,010.20, 1,512.17 and 862.60 is: 1,291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.20 : 1,512.17 = 862.60 : x
  2. Step 2: Convert to fraction form
    1,010.20/1,512.17 = 862.60/x
  3. Step 3: Cross multiply
    1,010.20x = 1,512.17 × 862.60
  4. Step 4: Simplify right side
    1,010.20x = 1,304,390.28
  5. Step 5: Solve for x
    x = 1,304,390.28/1,010.20
  6. Step 6: Final answer
    x = 1,291.23

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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.