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Finding the Fourth Proportional to 763.26, 1,144.80 and 352.73

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Solution

The fourth proportional to 763.26, 1,144.80 and 352.73 is: 529.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.26 : 1,144.80 = 352.73 : x
  2. Step 2: Convert to fraction form
    763.26/1,144.80 = 352.73/x
  3. Step 3: Cross multiply
    763.26x = 1,144.80 × 352.73
  4. Step 4: Simplify right side
    763.26x = 403,805.30
  5. Step 5: Solve for x
    x = 403,805.30/763.26
  6. Step 6: Final answer
    x = 529.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.