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Finding the Fourth Proportional to 701.83, 1,052.79 and 269.02

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Solution

The fourth proportional to 701.83, 1,052.79 and 269.02 is: 403.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.83 : 1,052.79 = 269.02 : x
  2. Step 2: Convert to fraction form
    701.83/1,052.79 = 269.02/x
  3. Step 3: Cross multiply
    701.83x = 1,052.79 × 269.02
  4. Step 4: Simplify right side
    701.83x = 283,221.57
  5. Step 5: Solve for x
    x = 283,221.57/701.83
  6. Step 6: Final answer
    x = 403.55

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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.