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Finding the Fourth Proportional to 1,478.66, 2,040.52 and 815.57

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Solution

The fourth proportional to 1,478.66, 2,040.52 and 815.57 is: 1,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.66 : 2,040.52 = 815.57 : x
  2. Step 2: Convert to fraction form
    1,478.66/2,040.52 = 815.57/x
  3. Step 3: Cross multiply
    1,478.66x = 2,040.52 × 815.57
  4. Step 4: Simplify right side
    1,478.66x = 1,664,186.90
  5. Step 5: Solve for x
    x = 1,664,186.90/1,478.66
  6. Step 6: Final answer
    x = 1,125.47

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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.