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Finding the Fourth Proportional to 925.29, 1,277.01 and 532.35

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Solution

The fourth proportional to 925.29, 1,277.01 and 532.35 is: 734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.29 : 1,277.01 = 532.35 : x
  2. Step 2: Convert to fraction form
    925.29/1,277.01 = 532.35/x
  3. Step 3: Cross multiply
    925.29x = 1,277.01 × 532.35
  4. Step 4: Simplify right side
    925.29x = 679,816.27
  5. Step 5: Solve for x
    x = 679,816.27/925.29
  6. Step 6: Final answer
    x = 734.71

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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.