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Finding the Fourth Proportional to 834.63, 1,251.13 and 401.55

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Solution

The fourth proportional to 834.63, 1,251.13 and 401.55 is: 601.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.63 : 1,251.13 = 401.55 : x
  2. Step 2: Convert to fraction form
    834.63/1,251.13 = 401.55/x
  3. Step 3: Cross multiply
    834.63x = 1,251.13 × 401.55
  4. Step 4: Simplify right side
    834.63x = 502,386.31
  5. Step 5: Solve for x
    x = 502,386.31/834.63
  6. Step 6: Final answer
    x = 601.93

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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.