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Finding the Fourth Proportional to 1,242.30, 1,712.42 and 1,006.60

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Solution

The fourth proportional to 1,242.30, 1,712.42 and 1,006.60 is: 1,387.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.30 : 1,712.42 = 1,006.60 : x
  2. Step 2: Convert to fraction form
    1,242.30/1,712.42 = 1,006.60/x
  3. Step 3: Cross multiply
    1,242.30x = 1,712.42 × 1,006.60
  4. Step 4: Simplify right side
    1,242.30x = 1,723,721.97
  5. Step 5: Solve for x
    x = 1,723,721.97/1,242.30
  6. Step 6: Final answer
    x = 1,387.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.