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Finding the Fourth Proportional to 762.71, 1,144.20 and 346.44

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Solution

The fourth proportional to 762.71, 1,144.20 and 346.44 is: 519.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.71 : 1,144.20 = 346.44 : x
  2. Step 2: Convert to fraction form
    762.71/1,144.20 = 346.44/x
  3. Step 3: Cross multiply
    762.71x = 1,144.20 × 346.44
  4. Step 4: Simplify right side
    762.71x = 396,396.65
  5. Step 5: Solve for x
    x = 396,396.65/762.71
  6. Step 6: Final answer
    x = 519.72

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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.