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Finding the Fourth Proportional to 927.74, 1,280.17 and 554.65

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Solution

The fourth proportional to 927.74, 1,280.17 and 554.65 is: 765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.74 : 1,280.17 = 554.65 : x
  2. Step 2: Convert to fraction form
    927.74/1,280.17 = 554.65/x
  3. Step 3: Cross multiply
    927.74x = 1,280.17 × 554.65
  4. Step 4: Simplify right side
    927.74x = 710,046.29
  5. Step 5: Solve for x
    x = 710,046.29/927.74
  6. Step 6: Final answer
    x = 765.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.