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Finding the Fourth Proportional to 891.54, 1,230.12 and 498.42

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Solution

The fourth proportional to 891.54, 1,230.12 and 498.42 is: 687.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.54 : 1,230.12 = 498.42 : x
  2. Step 2: Convert to fraction form
    891.54/1,230.12 = 498.42/x
  3. Step 3: Cross multiply
    891.54x = 1,230.12 × 498.42
  4. Step 4: Simplify right side
    891.54x = 613,116.41
  5. Step 5: Solve for x
    x = 613,116.41/891.54
  6. Step 6: Final answer
    x = 687.70

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