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Finding the Fourth Proportional to 834.15, 1,252.01 and 423.58

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Solution

The fourth proportional to 834.15, 1,252.01 and 423.58 is: 635.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.15 : 1,252.01 = 423.58 : x
  2. Step 2: Convert to fraction form
    834.15/1,252.01 = 423.58/x
  3. Step 3: Cross multiply
    834.15x = 1,252.01 × 423.58
  4. Step 4: Simplify right side
    834.15x = 530,326.40
  5. Step 5: Solve for x
    x = 530,326.40/834.15
  6. Step 6: Final answer
    x = 635.77

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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.