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Finding the Fourth Proportional to 907.26, 1,249.18 and 759.57

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Solution

The fourth proportional to 907.26, 1,249.18 and 759.57 is: 1,045.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.26 : 1,249.18 = 759.57 : x
  2. Step 2: Convert to fraction form
    907.26/1,249.18 = 759.57/x
  3. Step 3: Cross multiply
    907.26x = 1,249.18 × 759.57
  4. Step 4: Simplify right side
    907.26x = 948,839.65
  5. Step 5: Solve for x
    x = 948,839.65/907.26
  6. Step 6: Final answer
    x = 1,045.83

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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.