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Finding the Fourth Proportional to 836.90, 1,255.72 and 451.70

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Solution

The fourth proportional to 836.90, 1,255.72 and 451.70 is: 677.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.90 : 1,255.72 = 451.70 : x
  2. Step 2: Convert to fraction form
    836.90/1,255.72 = 451.70/x
  3. Step 3: Cross multiply
    836.90x = 1,255.72 × 451.70
  4. Step 4: Simplify right side
    836.90x = 567,208.72
  5. Step 5: Solve for x
    x = 567,208.72/836.90
  6. Step 6: Final answer
    x = 677.75

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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.