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Finding the Fourth Proportional to 882.49, 1,323.20 and 516.50

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Solution

The fourth proportional to 882.49, 1,323.20 and 516.50 is: 774.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.49 : 1,323.20 = 516.50 : x
  2. Step 2: Convert to fraction form
    882.49/1,323.20 = 516.50/x
  3. Step 3: Cross multiply
    882.49x = 1,323.20 × 516.50
  4. Step 4: Simplify right side
    882.49x = 683,433.53
  5. Step 5: Solve for x
    x = 683,433.53/882.49
  6. Step 6: Final answer
    x = 774.44

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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.