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Finding the Fourth Proportional to 882.32, 1,323.48 and 519.64

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Solution

The fourth proportional to 882.32, 1,323.48 and 519.64 is: 779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.32 : 1,323.48 = 519.64 : x
  2. Step 2: Convert to fraction form
    882.32/1,323.48 = 519.64/x
  3. Step 3: Cross multiply
    882.32x = 1,323.48 × 519.64
  4. Step 4: Simplify right side
    882.32x = 687,733.15
  5. Step 5: Solve for x
    x = 687,733.15/882.32
  6. Step 6: Final answer
    x = 779.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.