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Finding the Fourth Proportional to 1,264.24, 1,744.23 and 766.69

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Solution

The fourth proportional to 1,264.24, 1,744.23 and 766.69 is: 1,057.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.24 : 1,744.23 = 766.69 : x
  2. Step 2: Convert to fraction form
    1,264.24/1,744.23 = 766.69/x
  3. Step 3: Cross multiply
    1,264.24x = 1,744.23 × 766.69
  4. Step 4: Simplify right side
    1,264.24x = 1,337,283.70
  5. Step 5: Solve for x
    x = 1,337,283.70/1,264.24
  6. Step 6: Final answer
    x = 1,057.78

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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.