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Finding the Fourth Proportional to 1,108.60, 1,659.84 and 761.56

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Solution

The fourth proportional to 1,108.60, 1,659.84 and 761.56 is: 1,140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.60 : 1,659.84 = 761.56 : x
  2. Step 2: Convert to fraction form
    1,108.60/1,659.84 = 761.56/x
  3. Step 3: Cross multiply
    1,108.60x = 1,659.84 × 761.56
  4. Step 4: Simplify right side
    1,108.60x = 1,264,067.75
  5. Step 5: Solve for x
    x = 1,264,067.75/1,108.60
  6. Step 6: Final answer
    x = 1,140.24

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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.