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Finding the Fourth Proportional to 1,503.26, 2,256.27 and 763.39

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Solution

The fourth proportional to 1,503.26, 2,256.27 and 763.39 is: 1,145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.26 : 2,256.27 = 763.39 : x
  2. Step 2: Convert to fraction form
    1,503.26/2,256.27 = 763.39/x
  3. Step 3: Cross multiply
    1,503.26x = 2,256.27 × 763.39
  4. Step 4: Simplify right side
    1,503.26x = 1,722,418.21
  5. Step 5: Solve for x
    x = 1,722,418.21/1,503.26
  6. Step 6: Final answer
    x = 1,145.79

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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.