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Finding the Fourth Proportional to 1,540.53, 2,309.22 and 565.83

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Solution

The fourth proportional to 1,540.53, 2,309.22 and 565.83 is: 848.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.53 : 2,309.22 = 565.83 : x
  2. Step 2: Convert to fraction form
    1,540.53/2,309.22 = 565.83/x
  3. Step 3: Cross multiply
    1,540.53x = 2,309.22 × 565.83
  4. Step 4: Simplify right side
    1,540.53x = 1,306,625.95
  5. Step 5: Solve for x
    x = 1,306,625.95/1,540.53
  6. Step 6: Final answer
    x = 848.17

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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.