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Finding the Fourth Proportional to 1,112.88, 1,535.71 and 615.49

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Solution

The fourth proportional to 1,112.88, 1,535.71 and 615.49 is: 849.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.88 : 1,535.71 = 615.49 : x
  2. Step 2: Convert to fraction form
    1,112.88/1,535.71 = 615.49/x
  3. Step 3: Cross multiply
    1,112.88x = 1,535.71 × 615.49
  4. Step 4: Simplify right side
    1,112.88x = 945,204.93
  5. Step 5: Solve for x
    x = 945,204.93/1,112.88
  6. Step 6: Final answer
    x = 849.34

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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.