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Finding the Fourth Proportional to 898.75, 1,348.17 and 851.41

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Solution

The fourth proportional to 898.75, 1,348.17 and 851.41 is: 1,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.75 : 1,348.17 = 851.41 : x
  2. Step 2: Convert to fraction form
    898.75/1,348.17 = 851.41/x
  3. Step 3: Cross multiply
    898.75x = 1,348.17 × 851.41
  4. Step 4: Simplify right side
    898.75x = 1,147,845.42
  5. Step 5: Solve for x
    x = 1,147,845.42/898.75
  6. Step 6: Final answer
    x = 1,277.16

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Why These Related Problems?

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