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Finding the Fourth Proportional to 1,105.62, 1,659.26 and 585.55

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Solution

The fourth proportional to 1,105.62, 1,659.26 and 585.55 is: 878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.62 : 1,659.26 = 585.55 : x
  2. Step 2: Convert to fraction form
    1,105.62/1,659.26 = 585.55/x
  3. Step 3: Cross multiply
    1,105.62x = 1,659.26 × 585.55
  4. Step 4: Simplify right side
    1,105.62x = 971,579.69
  5. Step 5: Solve for x
    x = 971,579.69/1,105.62
  6. Step 6: Final answer
    x = 878.76

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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.