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Finding the Fourth Proportional to 927.96, 1,280.61 and 508.32

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Solution

The fourth proportional to 927.96, 1,280.61 and 508.32 is: 701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.96 : 1,280.61 = 508.32 : x
  2. Step 2: Convert to fraction form
    927.96/1,280.61 = 508.32/x
  3. Step 3: Cross multiply
    927.96x = 1,280.61 × 508.32
  4. Step 4: Simplify right side
    927.96x = 650,959.68
  5. Step 5: Solve for x
    x = 650,959.68/927.96
  6. Step 6: Final answer
    x = 701.50

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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.