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Finding the Fourth Proportional to 1,337.82, 2,004.33 and 823.74

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Solution

The fourth proportional to 1,337.82, 2,004.33 and 823.74 is: 1,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.82 : 2,004.33 = 823.74 : x
  2. Step 2: Convert to fraction form
    1,337.82/2,004.33 = 823.74/x
  3. Step 3: Cross multiply
    1,337.82x = 2,004.33 × 823.74
  4. Step 4: Simplify right side
    1,337.82x = 1,651,046.79
  5. Step 5: Solve for x
    x = 1,651,046.79/1,337.82
  6. Step 6: Final answer
    x = 1,234.13

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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.