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Finding the Fourth Proportional to 701.84, 1,052.33 and 311.83

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Solution

The fourth proportional to 701.84, 1,052.33 and 311.83 is: 467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.84 : 1,052.33 = 311.83 : x
  2. Step 2: Convert to fraction form
    701.84/1,052.33 = 311.83/x
  3. Step 3: Cross multiply
    701.84x = 1,052.33 × 311.83
  4. Step 4: Simplify right side
    701.84x = 328,143.87
  5. Step 5: Solve for x
    x = 328,143.87/701.84
  6. Step 6: Final answer
    x = 467.55

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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.