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Finding the Fourth Proportional to 1,127.39, 1,691.35 and 387.03

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Solution

The fourth proportional to 1,127.39, 1,691.35 and 387.03 is: 580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.39 : 1,691.35 = 387.03 : x
  2. Step 2: Convert to fraction form
    1,127.39/1,691.35 = 387.03/x
  3. Step 3: Cross multiply
    1,127.39x = 1,691.35 × 387.03
  4. Step 4: Simplify right side
    1,127.39x = 654,599.05
  5. Step 5: Solve for x
    x = 654,599.05/1,127.39
  6. Step 6: Final answer
    x = 580.63

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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.