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Finding the Fourth Proportional to 1,112.85, 1,535.72 and 615.49

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Solution

The fourth proportional to 1,112.85, 1,535.72 and 615.49 is: 849.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.85 : 1,535.72 = 615.49 : x
  2. Step 2: Convert to fraction form
    1,112.85/1,535.72 = 615.49/x
  3. Step 3: Cross multiply
    1,112.85x = 1,535.72 × 615.49
  4. Step 4: Simplify right side
    1,112.85x = 945,213.39
  5. Step 5: Solve for x
    x = 945,213.39/1,112.85
  6. Step 6: Final answer
    x = 849.36

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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.