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Finding the Fourth Proportional to 818.28, 1,229.34 and 706.92

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Solution

The fourth proportional to 818.28, 1,229.34 and 706.92 is: 1,062.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.28 : 1,229.34 = 706.92 : x
  2. Step 2: Convert to fraction form
    818.28/1,229.34 = 706.92/x
  3. Step 3: Cross multiply
    818.28x = 1,229.34 × 706.92
  4. Step 4: Simplify right side
    818.28x = 869,045.03
  5. Step 5: Solve for x
    x = 869,045.03/818.28
  6. Step 6: Final answer
    x = 1,062.04

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Why These Related Problems?

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