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Finding the Fourth Proportional to 1,250.26, 1,725.11 and 918.97

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Solution

The fourth proportional to 1,250.26, 1,725.11 and 918.97 is: 1,267.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.26 : 1,725.11 = 918.97 : x
  2. Step 2: Convert to fraction form
    1,250.26/1,725.11 = 918.97/x
  3. Step 3: Cross multiply
    1,250.26x = 1,725.11 × 918.97
  4. Step 4: Simplify right side
    1,250.26x = 1,585,319.74
  5. Step 5: Solve for x
    x = 1,585,319.74/1,250.26
  6. Step 6: Final answer
    x = 1,267.99

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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.