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Finding the Fourth Proportional to 844.83, 1,165.46 and 513.14

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Solution

The fourth proportional to 844.83, 1,165.46 and 513.14 is: 707.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.83 : 1,165.46 = 513.14 : x
  2. Step 2: Convert to fraction form
    844.83/1,165.46 = 513.14/x
  3. Step 3: Cross multiply
    844.83x = 1,165.46 × 513.14
  4. Step 4: Simplify right side
    844.83x = 598,035.75
  5. Step 5: Solve for x
    x = 598,035.75/844.83
  6. Step 6: Final answer
    x = 707.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.