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Finding the Fourth Proportional to 898.11, 1,347.32 and 281.88

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Solution

The fourth proportional to 898.11, 1,347.32 and 281.88 is: 422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.11 : 1,347.32 = 281.88 : x
  2. Step 2: Convert to fraction form
    898.11/1,347.32 = 281.88/x
  3. Step 3: Cross multiply
    898.11x = 1,347.32 × 281.88
  4. Step 4: Simplify right side
    898.11x = 379,783.27
  5. Step 5: Solve for x
    x = 379,783.27/898.11
  6. Step 6: Final answer
    x = 422.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.