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Finding the Fourth Proportional to 1,112.80, 1,535.62 and 615.43

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Solution

The fourth proportional to 1,112.80, 1,535.62 and 615.43 is: 849.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.80 : 1,535.62 = 615.43 : x
  2. Step 2: Convert to fraction form
    1,112.80/1,535.62 = 615.43/x
  3. Step 3: Cross multiply
    1,112.80x = 1,535.62 × 615.43
  4. Step 4: Simplify right side
    1,112.80x = 945,061.24
  5. Step 5: Solve for x
    x = 945,061.24/1,112.80
  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.