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Finding the Fourth Proportional to 589.16, 882.18 and 519.96

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Solution

The fourth proportional to 589.16, 882.18 and 519.96 is: 778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.16 : 882.18 = 519.96 : x
  2. Step 2: Convert to fraction form
    589.16/882.18 = 519.96/x
  3. Step 3: Cross multiply
    589.16x = 882.18 × 519.96
  4. Step 4: Simplify right side
    589.16x = 458,698.31
  5. Step 5: Solve for x
    x = 458,698.31/589.16
  6. Step 6: Final answer
    x = 778.56

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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.