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Finding the Fourth Proportional to 1,147.97, 1,584.66 and 971.85

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Solution

The fourth proportional to 1,147.97, 1,584.66 and 971.85 is: 1,341.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.97 : 1,584.66 = 971.85 : x
  2. Step 2: Convert to fraction form
    1,147.97/1,584.66 = 971.85/x
  3. Step 3: Cross multiply
    1,147.97x = 1,584.66 × 971.85
  4. Step 4: Simplify right side
    1,147.97x = 1,540,052.49
  5. Step 5: Solve for x
    x = 1,540,052.49/1,147.97
  6. Step 6: Final answer
    x = 1,341.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.