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Finding the Fourth Proportional to 864.56, 1,193.10 and 532.82

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Solution

The fourth proportional to 864.56, 1,193.10 and 532.82 is: 735.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.56 : 1,193.10 = 532.82 : x
  2. Step 2: Convert to fraction form
    864.56/1,193.10 = 532.82/x
  3. Step 3: Cross multiply
    864.56x = 1,193.10 × 532.82
  4. Step 4: Simplify right side
    864.56x = 635,707.54
  5. Step 5: Solve for x
    x = 635,707.54/864.56
  6. Step 6: Final answer
    x = 735.30

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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.