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Finding the Fourth Proportional to 891.55, 1,230.41 and 498.61

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Solution

The fourth proportional to 891.55, 1,230.41 and 498.61 is: 688.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.55 : 1,230.41 = 498.61 : x
  2. Step 2: Convert to fraction form
    891.55/1,230.41 = 498.61/x
  3. Step 3: Cross multiply
    891.55x = 1,230.41 × 498.61
  4. Step 4: Simplify right side
    891.55x = 613,494.73
  5. Step 5: Solve for x
    x = 613,494.73/891.55
  6. Step 6: Final answer
    x = 688.12

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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.