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Finding the Fourth Proportional to 834.74, 1,250.49 and 469.76

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Solution

The fourth proportional to 834.74, 1,250.49 and 469.76 is: 703.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.74 : 1,250.49 = 469.76 : x
  2. Step 2: Convert to fraction form
    834.74/1,250.49 = 469.76/x
  3. Step 3: Cross multiply
    834.74x = 1,250.49 × 469.76
  4. Step 4: Simplify right side
    834.74x = 587,431.55
  5. Step 5: Solve for x
    x = 587,431.55/834.74
  6. Step 6: Final answer
    x = 703.73

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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.