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Finding the Fourth Proportional to 838.59, 1,157.64 and 540.15

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Solution

The fourth proportional to 838.59, 1,157.64 and 540.15 is: 745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.59 : 1,157.64 = 540.15 : x
  2. Step 2: Convert to fraction form
    838.59/1,157.64 = 540.15/x
  3. Step 3: Cross multiply
    838.59x = 1,157.64 × 540.15
  4. Step 4: Simplify right side
    838.59x = 625,299.25
  5. Step 5: Solve for x
    x = 625,299.25/838.59
  6. Step 6: Final answer
    x = 745.66

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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.