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Finding the Fourth Proportional to 1,479.87, 2,042.79 and 982.78

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Solution

The fourth proportional to 1,479.87, 2,042.79 and 982.78 is: 1,356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.87 : 2,042.79 = 982.78 : x
  2. Step 2: Convert to fraction form
    1,479.87/2,042.79 = 982.78/x
  3. Step 3: Cross multiply
    1,479.87x = 2,042.79 × 982.78
  4. Step 4: Simplify right side
    1,479.87x = 2,007,624.15
  5. Step 5: Solve for x
    x = 2,007,624.15/1,479.87
  6. Step 6: Final answer
    x = 1,356.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.