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Finding the Fourth Proportional to 701.86, 1,051.17 and 677.56

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Solution

The fourth proportional to 701.86, 1,051.17 and 677.56 is: 1,014.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.86 : 1,051.17 = 677.56 : x
  2. Step 2: Convert to fraction form
    701.86/1,051.17 = 677.56/x
  3. Step 3: Cross multiply
    701.86x = 1,051.17 × 677.56
  4. Step 4: Simplify right side
    701.86x = 712,230.75
  5. Step 5: Solve for x
    x = 712,230.75/701.86
  6. Step 6: Final answer
    x = 1,014.78

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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.