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Finding the Fourth Proportional to 701.85, 1,052.13 and 268.71

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Solution

The fourth proportional to 701.85, 1,052.13 and 268.71 is: 402.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.85 : 1,052.13 = 268.71 : x
  2. Step 2: Convert to fraction form
    701.85/1,052.13 = 268.71/x
  3. Step 3: Cross multiply
    701.85x = 1,052.13 × 268.71
  4. Step 4: Simplify right side
    701.85x = 282,717.85
  5. Step 5: Solve for x
    x = 282,717.85/701.85
  6. Step 6: Final answer
    x = 402.82

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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.