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Finding the Fourth Proportional to 864.42, 1,193.30 and 532.95

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Solution

The fourth proportional to 864.42, 1,193.30 and 532.95 is: 735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.42 : 1,193.30 = 532.95 : x
  2. Step 2: Convert to fraction form
    864.42/1,193.30 = 532.95/x
  3. Step 3: Cross multiply
    864.42x = 1,193.30 × 532.95
  4. Step 4: Simplify right side
    864.42x = 635,966.57
  5. Step 5: Solve for x
    x = 635,966.57/864.42
  6. Step 6: Final answer
    x = 735.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.