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Finding the Fourth Proportional to 868.40, 1,302.12 and 483.92

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Solution

The fourth proportional to 868.40, 1,302.12 and 483.92 is: 725.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.40 : 1,302.12 = 483.92 : x
  2. Step 2: Convert to fraction form
    868.40/1,302.12 = 483.92/x
  3. Step 3: Cross multiply
    868.40x = 1,302.12 × 483.92
  4. Step 4: Simplify right side
    868.40x = 630,121.91
  5. Step 5: Solve for x
    x = 630,121.91/868.40
  6. Step 6: Final answer
    x = 725.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.