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Finding the Fourth Proportional to 1,272.53, 1,752.19 and 1,114.28

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Solution

The fourth proportional to 1,272.53, 1,752.19 and 1,114.28 is: 1,534.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.53 : 1,752.19 = 1,114.28 : x
  2. Step 2: Convert to fraction form
    1,272.53/1,752.19 = 1,114.28/x
  3. Step 3: Cross multiply
    1,272.53x = 1,752.19 × 1,114.28
  4. Step 4: Simplify right side
    1,272.53x = 1,952,418.73
  5. Step 5: Solve for x
    x = 1,952,418.73/1,272.53
  6. Step 6: Final answer
    x = 1,534.29

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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.