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Finding the Fourth Proportional to 891.62, 1,230.45 and 498.66

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Solution

The fourth proportional to 891.62, 1,230.45 and 498.66 is: 688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.62 : 1,230.45 = 498.66 : x
  2. Step 2: Convert to fraction form
    891.62/1,230.45 = 498.66/x
  3. Step 3: Cross multiply
    891.62x = 1,230.45 × 498.66
  4. Step 4: Simplify right side
    891.62x = 613,576.20
  5. Step 5: Solve for x
    x = 613,576.20/891.62
  6. Step 6: Final answer
    x = 688.16

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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.