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Finding the Fourth Proportional to 701.65, 1,051.76 and 311.86

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Solution

The fourth proportional to 701.65, 1,051.76 and 311.86 is: 467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.65 : 1,051.76 = 311.86 : x
  2. Step 2: Convert to fraction form
    701.65/1,051.76 = 311.86/x
  3. Step 3: Cross multiply
    701.65x = 1,051.76 × 311.86
  4. Step 4: Simplify right side
    701.65x = 328,003.97
  5. Step 5: Solve for x
    x = 328,003.97/701.65
  6. Step 6: Final answer
    x = 467.47

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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.