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Finding the Fourth Proportional to 836.68, 1,254.33 and 397.69

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Solution

The fourth proportional to 836.68, 1,254.33 and 397.69 is: 596.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.68 : 1,254.33 = 397.69 : x
  2. Step 2: Convert to fraction form
    836.68/1,254.33 = 397.69/x
  3. Step 3: Cross multiply
    836.68x = 1,254.33 × 397.69
  4. Step 4: Simplify right side
    836.68x = 498,834.50
  5. Step 5: Solve for x
    x = 498,834.50/836.68
  6. Step 6: Final answer
    x = 596.21

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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.