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Finding the Fourth Proportional to 1,337.12, 2,000.89 and 817.25

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Solution

The fourth proportional to 1,337.12, 2,000.89 and 817.25 is: 1,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.12 : 2,000.89 = 817.25 : x
  2. Step 2: Convert to fraction form
    1,337.12/2,000.89 = 817.25/x
  3. Step 3: Cross multiply
    1,337.12x = 2,000.89 × 817.25
  4. Step 4: Simplify right side
    1,337.12x = 1,635,227.35
  5. Step 5: Solve for x
    x = 1,635,227.35/1,337.12
  6. Step 6: Final answer
    x = 1,222.95

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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.