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Finding the Fourth Proportional to 1,126.30, 1,687.34 and 760.46

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Solution

The fourth proportional to 1,126.30, 1,687.34 and 760.46 is: 1,139.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.30 : 1,687.34 = 760.46 : x
  2. Step 2: Convert to fraction form
    1,126.30/1,687.34 = 760.46/x
  3. Step 3: Cross multiply
    1,126.30x = 1,687.34 × 760.46
  4. Step 4: Simplify right side
    1,126.30x = 1,283,154.58
  5. Step 5: Solve for x
    x = 1,283,154.58/1,126.30
  6. Step 6: Final answer
    x = 1,139.27

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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.