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Finding the Fourth Proportional to 1,127.62, 1,691.36 and 347.60

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Solution

The fourth proportional to 1,127.62, 1,691.36 and 347.60 is: 521.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.62 : 1,691.36 = 347.60 : x
  2. Step 2: Convert to fraction form
    1,127.62/1,691.36 = 347.60/x
  3. Step 3: Cross multiply
    1,127.62x = 1,691.36 × 347.60
  4. Step 4: Simplify right side
    1,127.62x = 587,916.74
  5. Step 5: Solve for x
    x = 587,916.74/1,127.62
  6. Step 6: Final answer
    x = 521.38

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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.