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Finding the Fourth Proportional to 925.66, 1,277.54 and 532.68

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Solution

The fourth proportional to 925.66, 1,277.54 and 532.68 is: 735.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.66 : 1,277.54 = 532.68 : x
  2. Step 2: Convert to fraction form
    925.66/1,277.54 = 532.68/x
  3. Step 3: Cross multiply
    925.66x = 1,277.54 × 532.68
  4. Step 4: Simplify right side
    925.66x = 680,520.01
  5. Step 5: Solve for x
    x = 680,520.01/925.66
  6. Step 6: Final answer
    x = 735.17

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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.