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Finding the Fourth Proportional to 882.82, 1,323.15 and 517.87

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Solution

The fourth proportional to 882.82, 1,323.15 and 517.87 is: 776.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.82 : 1,323.15 = 517.87 : x
  2. Step 2: Convert to fraction form
    882.82/1,323.15 = 517.87/x
  3. Step 3: Cross multiply
    882.82x = 1,323.15 × 517.87
  4. Step 4: Simplify right side
    882.82x = 685,219.69
  5. Step 5: Solve for x
    x = 685,219.69/882.82
  6. Step 6: Final answer
    x = 776.17

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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.