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Finding the Fourth Proportional to 864, 1,192.77 and 532.61

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Solution

The fourth proportional to 864, 1,192.77 and 532.61 is: 735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    864 : 1,192.77 = 532.61 : x
  2. Step 2: Convert to fraction form
    864/1,192.77 = 532.61/x
  3. Step 3: Cross multiply
    864x = 1,192.77 × 532.61
  4. Step 4: Simplify right side
    864x = 635,275.27
  5. Step 5: Solve for x
    x = 635,275.27/864
  6. Step 6: Final answer
    x = 735.27

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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.