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Finding the Fourth Proportional to 834.70, 1,252.06 and 469.19

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Solution

The fourth proportional to 834.70, 1,252.06 and 469.19 is: 703.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.70 : 1,252.06 = 469.19 : x
  2. Step 2: Convert to fraction form
    834.70/1,252.06 = 469.19/x
  3. Step 3: Cross multiply
    834.70x = 1,252.06 × 469.19
  4. Step 4: Simplify right side
    834.70x = 587,454.03
  5. Step 5: Solve for x
    x = 587,454.03/834.70
  6. Step 6: Final answer
    x = 703.79

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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.