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Finding the Fourth Proportional to 925.44, 1,276.80 and 532.18

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Solution

The fourth proportional to 925.44, 1,276.80 and 532.18 is: 734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.44 : 1,276.80 = 532.18 : x
  2. Step 2: Convert to fraction form
    925.44/1,276.80 = 532.18/x
  3. Step 3: Cross multiply
    925.44x = 1,276.80 × 532.18
  4. Step 4: Simplify right side
    925.44x = 679,487.42
  5. Step 5: Solve for x
    x = 679,487.42/925.44
  6. Step 6: Final answer
    x = 734.23

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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.