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Finding the Fourth Proportional to 1,042.31, 1,561.84 and 656.75

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Solution

The fourth proportional to 1,042.31, 1,561.84 and 656.75 is: 984.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.31 : 1,561.84 = 656.75 : x
  2. Step 2: Convert to fraction form
    1,042.31/1,561.84 = 656.75/x
  3. Step 3: Cross multiply
    1,042.31x = 1,561.84 × 656.75
  4. Step 4: Simplify right side
    1,042.31x = 1,025,738.42
  5. Step 5: Solve for x
    x = 1,025,738.42/1,042.31
  6. Step 6: Final answer
    x = 984.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.