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Finding the Fourth Proportional to 891.04, 1,229.69 and 498.09

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Solution

The fourth proportional to 891.04, 1,229.69 and 498.09 is: 687.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.04 : 1,229.69 = 498.09 : x
  2. Step 2: Convert to fraction form
    891.04/1,229.69 = 498.09/x
  3. Step 3: Cross multiply
    891.04x = 1,229.69 × 498.09
  4. Step 4: Simplify right side
    891.04x = 612,493.80
  5. Step 5: Solve for x
    x = 612,493.80/891.04
  6. Step 6: Final answer
    x = 687.40

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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.