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Finding the Fourth Proportional to 868.16, 1,197.68 and 553.52

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Solution

The fourth proportional to 868.16, 1,197.68 and 553.52 is: 763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.16 : 1,197.68 = 553.52 : x
  2. Step 2: Convert to fraction form
    868.16/1,197.68 = 553.52/x
  3. Step 3: Cross multiply
    868.16x = 1,197.68 × 553.52
  4. Step 4: Simplify right side
    868.16x = 662,939.83
  5. Step 5: Solve for x
    x = 662,939.83/868.16
  6. Step 6: Final answer
    x = 763.61

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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.