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Finding the Fourth Proportional to 1,366.23, 2,049.34 and 585.73

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Solution

The fourth proportional to 1,366.23, 2,049.34 and 585.73 is: 878.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.23 : 2,049.34 = 585.73 : x
  2. Step 2: Convert to fraction form
    1,366.23/2,049.34 = 585.73/x
  3. Step 3: Cross multiply
    1,366.23x = 2,049.34 × 585.73
  4. Step 4: Simplify right side
    1,366.23x = 1,200,354.06
  5. Step 5: Solve for x
    x = 1,200,354.06/1,366.23
  6. Step 6: Final answer
    x = 878.59

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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.