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Finding the Fourth Proportional to 1,505.79, 2,257.26 and 531.22

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Solution

The fourth proportional to 1,505.79, 2,257.26 and 531.22 is: 796.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.79 : 2,257.26 = 531.22 : x
  2. Step 2: Convert to fraction form
    1,505.79/2,257.26 = 531.22/x
  3. Step 3: Cross multiply
    1,505.79x = 2,257.26 × 531.22
  4. Step 4: Simplify right side
    1,505.79x = 1,199,101.66
  5. Step 5: Solve for x
    x = 1,199,101.66/1,505.79
  6. Step 6: Final answer
    x = 796.33

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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.