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Finding the Fourth Proportional to 1,112.97, 1,535.74 and 615.48

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Solution

The fourth proportional to 1,112.97, 1,535.74 and 615.48 is: 849.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.97 : 1,535.74 = 615.48 : x
  2. Step 2: Convert to fraction form
    1,112.97/1,535.74 = 615.48/x
  3. Step 3: Cross multiply
    1,112.97x = 1,535.74 × 615.48
  4. Step 4: Simplify right side
    1,112.97x = 945,217.26
  5. Step 5: Solve for x
    x = 945,217.26/1,112.97
  6. Step 6: Final answer
    x = 849.27

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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.