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Finding the Fourth Proportional to 701.88, 1,053.18 and 311.70

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Solution

The fourth proportional to 701.88, 1,053.18 and 311.70 is: 467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.88 : 1,053.18 = 311.70 : x
  2. Step 2: Convert to fraction form
    701.88/1,053.18 = 311.70/x
  3. Step 3: Cross multiply
    701.88x = 1,053.18 × 311.70
  4. Step 4: Simplify right side
    701.88x = 328,276.21
  5. Step 5: Solve for x
    x = 328,276.21/701.88
  6. Step 6: Final answer
    x = 467.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.