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Finding the Fourth Proportional to 882.92, 1,324.49 and 266.64

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Solution

The fourth proportional to 882.92, 1,324.49 and 266.64 is: 399.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.92 : 1,324.49 = 266.64 : x
  2. Step 2: Convert to fraction form
    882.92/1,324.49 = 266.64/x
  3. Step 3: Cross multiply
    882.92x = 1,324.49 × 266.64
  4. Step 4: Simplify right side
    882.92x = 353,160.68
  5. Step 5: Solve for x
    x = 353,160.68/882.92
  6. Step 6: Final answer
    x = 399.99

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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.