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Finding the Fourth Proportional to 1,140.75, 1,711.17 and 965.79

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Solution

The fourth proportional to 1,140.75, 1,711.17 and 965.79 is: 1,448.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.75 : 1,711.17 = 965.79 : x
  2. Step 2: Convert to fraction form
    1,140.75/1,711.17 = 965.79/x
  3. Step 3: Cross multiply
    1,140.75x = 1,711.17 × 965.79
  4. Step 4: Simplify right side
    1,140.75x = 1,652,630.87
  5. Step 5: Solve for x
    x = 1,652,630.87/1,140.75
  6. Step 6: Final answer
    x = 1,448.72

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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.