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Finding the Fourth Proportional to 701.27, 1,051.67 and 311.25

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Solution

The fourth proportional to 701.27, 1,051.67 and 311.25 is: 466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.27 : 1,051.67 = 311.25 : x
  2. Step 2: Convert to fraction form
    701.27/1,051.67 = 311.25/x
  3. Step 3: Cross multiply
    701.27x = 1,051.67 × 311.25
  4. Step 4: Simplify right side
    701.27x = 327,330.73
  5. Step 5: Solve for x
    x = 327,330.73/701.27
  6. Step 6: Final answer
    x = 466.77

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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.