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Finding the Fourth Proportional to 836.43, 1,154.11 and 525.75

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Solution

The fourth proportional to 836.43, 1,154.11 and 525.75 is: 725.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.43 : 1,154.11 = 525.75 : x
  2. Step 2: Convert to fraction form
    836.43/1,154.11 = 525.75/x
  3. Step 3: Cross multiply
    836.43x = 1,154.11 × 525.75
  4. Step 4: Simplify right side
    836.43x = 606,773.33
  5. Step 5: Solve for x
    x = 606,773.33/836.43
  6. Step 6: Final answer
    x = 725.43

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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.