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Finding the Fourth Proportional to 927.59, 1,391.20 and 278.18

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Solution

The fourth proportional to 927.59, 1,391.20 and 278.18 is: 417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.59 : 1,391.20 = 278.18 : x
  2. Step 2: Convert to fraction form
    927.59/1,391.20 = 278.18/x
  3. Step 3: Cross multiply
    927.59x = 1,391.20 × 278.18
  4. Step 4: Simplify right side
    927.59x = 386,996.36
  5. Step 5: Solve for x
    x = 386,996.36/927.59
  6. Step 6: Final answer
    x = 417.21

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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.