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Finding the Fourth Proportional to 1,505.22, 2,257.62 and 531.20

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Solution

The fourth proportional to 1,505.22, 2,257.62 and 531.20 is: 796.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.22 : 2,257.62 = 531.20 : x
  2. Step 2: Convert to fraction form
    1,505.22/2,257.62 = 531.20/x
  3. Step 3: Cross multiply
    1,505.22x = 2,257.62 × 531.20
  4. Step 4: Simplify right side
    1,505.22x = 1,199,236.46
  5. Step 5: Solve for x
    x = 1,199,236.46/1,505.22
  6. Step 6: Final answer
    x = 796.72

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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.