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Finding the Fourth Proportional to 634.72, 874.65 and 617.74

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Solution

The fourth proportional to 634.72, 874.65 and 617.74 is: 851.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.72 : 874.65 = 617.74 : x
  2. Step 2: Convert to fraction form
    634.72/874.65 = 617.74/x
  3. Step 3: Cross multiply
    634.72x = 874.65 × 617.74
  4. Step 4: Simplify right side
    634.72x = 540,306.29
  5. Step 5: Solve for x
    x = 540,306.29/634.72
  6. Step 6: Final answer
    x = 851.25

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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.