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Finding the Fourth Proportional to 1,478.11, 2,039.83 and 814.97

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Solution

The fourth proportional to 1,478.11, 2,039.83 and 814.97 is: 1,124.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.11 : 2,039.83 = 814.97 : x
  2. Step 2: Convert to fraction form
    1,478.11/2,039.83 = 814.97/x
  3. Step 3: Cross multiply
    1,478.11x = 2,039.83 × 814.97
  4. Step 4: Simplify right side
    1,478.11x = 1,662,400.26
  5. Step 5: Solve for x
    x = 1,662,400.26/1,478.11
  6. Step 6: Final answer
    x = 1,124.68

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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.