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Finding the Fourth Proportional to 812.12, 1,120.66 and 517.48

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Solution

The fourth proportional to 812.12, 1,120.66 and 517.48 is: 714.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.12 : 1,120.66 = 517.48 : x
  2. Step 2: Convert to fraction form
    812.12/1,120.66 = 517.48/x
  3. Step 3: Cross multiply
    812.12x = 1,120.66 × 517.48
  4. Step 4: Simplify right side
    812.12x = 579,919.14
  5. Step 5: Solve for x
    x = 579,919.14/812.12
  6. Step 6: Final answer
    x = 714.08

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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.