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Finding the Fourth Proportional to 838.88, 1,157.92 and 540.13

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Solution

The fourth proportional to 838.88, 1,157.92 and 540.13 is: 745.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.88 : 1,157.92 = 540.13 : x
  2. Step 2: Convert to fraction form
    838.88/1,157.92 = 540.13/x
  3. Step 3: Cross multiply
    838.88x = 1,157.92 × 540.13
  4. Step 4: Simplify right side
    838.88x = 625,428.44
  5. Step 5: Solve for x
    x = 625,428.44/838.88
  6. Step 6: Final answer
    x = 745.55

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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.