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Finding the Fourth Proportional to 1,264.18, 1,744.45 and 932.79

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Solution

The fourth proportional to 1,264.18, 1,744.45 and 932.79 is: 1,287.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.18 : 1,744.45 = 932.79 : x
  2. Step 2: Convert to fraction form
    1,264.18/1,744.45 = 932.79/x
  3. Step 3: Cross multiply
    1,264.18x = 1,744.45 × 932.79
  4. Step 4: Simplify right side
    1,264.18x = 1,627,205.52
  5. Step 5: Solve for x
    x = 1,627,205.52/1,264.18
  6. Step 6: Final answer
    x = 1,287.16

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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.