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Finding the Fourth Proportional to 872.26, 1,203.84 and 540.78

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Solution

The fourth proportional to 872.26, 1,203.84 and 540.78 is: 746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.26 : 1,203.84 = 540.78 : x
  2. Step 2: Convert to fraction form
    872.26/1,203.84 = 540.78/x
  3. Step 3: Cross multiply
    872.26x = 1,203.84 × 540.78
  4. Step 4: Simplify right side
    872.26x = 651,012.60
  5. Step 5: Solve for x
    x = 651,012.60/872.26
  6. Step 6: Final answer
    x = 746.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.