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Finding the Fourth Proportional to 1,301.67, 1,948.86 and 839.97

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Solution

The fourth proportional to 1,301.67, 1,948.86 and 839.97 is: 1,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.67 : 1,948.86 = 839.97 : x
  2. Step 2: Convert to fraction form
    1,301.67/1,948.86 = 839.97/x
  3. Step 3: Cross multiply
    1,301.67x = 1,948.86 × 839.97
  4. Step 4: Simplify right side
    1,301.67x = 1,636,983.93
  5. Step 5: Solve for x
    x = 1,636,983.93/1,301.67
  6. Step 6: Final answer
    x = 1,257.60

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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.