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Finding the Fourth Proportional to 1,092.72, 1,639.14 and 362.40

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Solution

The fourth proportional to 1,092.72, 1,639.14 and 362.40 is: 543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.72 : 1,639.14 = 362.40 : x
  2. Step 2: Convert to fraction form
    1,092.72/1,639.14 = 362.40/x
  3. Step 3: Cross multiply
    1,092.72x = 1,639.14 × 362.40
  4. Step 4: Simplify right side
    1,092.72x = 594,024.34
  5. Step 5: Solve for x
    x = 594,024.34/1,092.72
  6. Step 6: Final answer
    x = 543.62

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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.