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Finding the Fourth Proportional to 882.79, 1,324.04 and 297.73

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Solution

The fourth proportional to 882.79, 1,324.04 and 297.73 is: 446.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.79 : 1,324.04 = 297.73 : x
  2. Step 2: Convert to fraction form
    882.79/1,324.04 = 297.73/x
  3. Step 3: Cross multiply
    882.79x = 1,324.04 × 297.73
  4. Step 4: Simplify right side
    882.79x = 394,206.43
  5. Step 5: Solve for x
    x = 394,206.43/882.79
  6. Step 6: Final answer
    x = 446.55

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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.