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Finding the Fourth Proportional to 920.86, 1,382.20 and 676.70

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Solution

The fourth proportional to 920.86, 1,382.20 and 676.70 is: 1,015.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.86 : 1,382.20 = 676.70 : x
  2. Step 2: Convert to fraction form
    920.86/1,382.20 = 676.70/x
  3. Step 3: Cross multiply
    920.86x = 1,382.20 × 676.70
  4. Step 4: Simplify right side
    920.86x = 935,334.74
  5. Step 5: Solve for x
    x = 935,334.74/920.86
  6. Step 6: Final answer
    x = 1,015.72

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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.