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Finding the Fourth Proportional to 868.76, 1,198.84 and 532.96

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Solution

The fourth proportional to 868.76, 1,198.84 and 532.96 is: 735.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.76 : 1,198.84 = 532.96 : x
  2. Step 2: Convert to fraction form
    868.76/1,198.84 = 532.96/x
  3. Step 3: Cross multiply
    868.76x = 1,198.84 × 532.96
  4. Step 4: Simplify right side
    868.76x = 638,933.77
  5. Step 5: Solve for x
    x = 638,933.77/868.76
  6. Step 6: Final answer
    x = 735.45

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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.