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Finding the Fourth Proportional to 882.28, 1,219.62 and 674.92

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Solution

The fourth proportional to 882.28, 1,219.62 and 674.92 is: 932.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.28 : 1,219.62 = 674.92 : x
  2. Step 2: Convert to fraction form
    882.28/1,219.62 = 674.92/x
  3. Step 3: Cross multiply
    882.28x = 1,219.62 × 674.92
  4. Step 4: Simplify right side
    882.28x = 823,145.93
  5. Step 5: Solve for x
    x = 823,145.93/882.28
  6. Step 6: Final answer
    x = 932.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.