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Finding the Fourth Proportional to 1,112.92, 1,535.76 and 615.54

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Solution

The fourth proportional to 1,112.92, 1,535.76 and 615.54 is: 849.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.92 : 1,535.76 = 615.54 : x
  2. Step 2: Convert to fraction form
    1,112.92/1,535.76 = 615.54/x
  3. Step 3: Cross multiply
    1,112.92x = 1,535.76 × 615.54
  4. Step 4: Simplify right side
    1,112.92x = 945,321.71
  5. Step 5: Solve for x
    x = 945,321.71/1,112.92
  6. Step 6: Final answer
    x = 849.41

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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.