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Finding the Fourth Proportional to 1,478.53, 2,040.36 and 815.41

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Solution

The fourth proportional to 1,478.53, 2,040.36 and 815.41 is: 1,125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.53 : 2,040.36 = 815.41 : x
  2. Step 2: Convert to fraction form
    1,478.53/2,040.36 = 815.41/x
  3. Step 3: Cross multiply
    1,478.53x = 2,040.36 × 815.41
  4. Step 4: Simplify right side
    1,478.53x = 1,663,729.95
  5. Step 5: Solve for x
    x = 1,663,729.95/1,478.53
  6. Step 6: Final answer
    x = 1,125.26

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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.