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Finding the Fourth Proportional to 891.46, 1,229.07 and 576.17

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Solution

The fourth proportional to 891.46, 1,229.07 and 576.17 is: 794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.46 : 1,229.07 = 576.17 : x
  2. Step 2: Convert to fraction form
    891.46/1,229.07 = 576.17/x
  3. Step 3: Cross multiply
    891.46x = 1,229.07 × 576.17
  4. Step 4: Simplify right side
    891.46x = 708,157.34
  5. Step 5: Solve for x
    x = 708,157.34/891.46
  6. Step 6: Final answer
    x = 794.38

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Why These Related Problems?

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