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Finding the Fourth Proportional to 927.92, 1,280.56 and 508.30

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Solution

The fourth proportional to 927.92, 1,280.56 and 508.30 is: 701.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.92 : 1,280.56 = 508.30 : x
  2. Step 2: Convert to fraction form
    927.92/1,280.56 = 508.30/x
  3. Step 3: Cross multiply
    927.92x = 1,280.56 × 508.30
  4. Step 4: Simplify right side
    927.92x = 650,910.58
  5. Step 5: Solve for x
    x = 650,910.58/927.92
  6. Step 6: Final answer
    x = 701.48

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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.