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Finding the Fourth Proportional to 1,265.40, 1,744.23 and 767.10

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Solution

The fourth proportional to 1,265.40, 1,744.23 and 767.10 is: 1,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.40 : 1,744.23 = 767.10 : x
  2. Step 2: Convert to fraction form
    1,265.40/1,744.23 = 767.10/x
  3. Step 3: Cross multiply
    1,265.40x = 1,744.23 × 767.10
  4. Step 4: Simplify right side
    1,265.40x = 1,337,998.83
  5. Step 5: Solve for x
    x = 1,337,998.83/1,265.40
  6. Step 6: Final answer
    x = 1,057.37

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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.