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Finding the Fourth Proportional to 882.34, 1,323.49 and 519.43

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Solution

The fourth proportional to 882.34, 1,323.49 and 519.43 is: 779.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.34 : 1,323.49 = 519.43 : x
  2. Step 2: Convert to fraction form
    882.34/1,323.49 = 519.43/x
  3. Step 3: Cross multiply
    882.34x = 1,323.49 × 519.43
  4. Step 4: Simplify right side
    882.34x = 687,460.41
  5. Step 5: Solve for x
    x = 687,460.41/882.34
  6. Step 6: Final answer
    x = 779.13

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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.