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Finding the Fourth Proportional to 925.62, 1,277.34 and 532.65

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Solution

The fourth proportional to 925.62, 1,277.34 and 532.65 is: 735.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.62 : 1,277.34 = 532.65 : x
  2. Step 2: Convert to fraction form
    925.62/1,277.34 = 532.65/x
  3. Step 3: Cross multiply
    925.62x = 1,277.34 × 532.65
  4. Step 4: Simplify right side
    925.62x = 680,375.15
  5. Step 5: Solve for x
    x = 680,375.15/925.62
  6. Step 6: Final answer
    x = 735.05

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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.