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Finding the Fourth Proportional to 687.20, 1,030.82 and 296.80

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Solution

The fourth proportional to 687.20, 1,030.82 and 296.80 is: 445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.20 : 1,030.82 = 296.80 : x
  2. Step 2: Convert to fraction form
    687.20/1,030.82 = 296.80/x
  3. Step 3: Cross multiply
    687.20x = 1,030.82 × 296.80
  4. Step 4: Simplify right side
    687.20x = 305,947.38
  5. Step 5: Solve for x
    x = 305,947.38/687.20
  6. Step 6: Final answer
    x = 445.21

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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.