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Finding the Fourth Proportional to 1,478.38, 2,040.13 and 815.21

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Solution

The fourth proportional to 1,478.38, 2,040.13 and 815.21 is: 1,124.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.38 : 2,040.13 = 815.21 : x
  2. Step 2: Convert to fraction form
    1,478.38/2,040.13 = 815.21/x
  3. Step 3: Cross multiply
    1,478.38x = 2,040.13 × 815.21
  4. Step 4: Simplify right side
    1,478.38x = 1,663,137.44
  5. Step 5: Solve for x
    x = 1,663,137.44/1,478.38
  6. Step 6: Final answer
    x = 1,124.97

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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.