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Finding the Fourth Proportional to 1,391.78, 2,084.84 and 659.14

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Solution

The fourth proportional to 1,391.78, 2,084.84 and 659.14 is: 987.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.78 : 2,084.84 = 659.14 : x
  2. Step 2: Convert to fraction form
    1,391.78/2,084.84 = 659.14/x
  3. Step 3: Cross multiply
    1,391.78x = 2,084.84 × 659.14
  4. Step 4: Simplify right side
    1,391.78x = 1,374,195.40
  5. Step 5: Solve for x
    x = 1,374,195.40/1,391.78
  6. Step 6: Final answer
    x = 987.36

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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.