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Finding the Fourth Proportional to 812.16, 1,120.50 and 517.05

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Solution

The fourth proportional to 812.16, 1,120.50 and 517.05 is: 713.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.16 : 1,120.50 = 517.05 : x
  2. Step 2: Convert to fraction form
    812.16/1,120.50 = 517.05/x
  3. Step 3: Cross multiply
    812.16x = 1,120.50 × 517.05
  4. Step 4: Simplify right side
    812.16x = 579,354.53
  5. Step 5: Solve for x
    x = 579,354.53/812.16
  6. Step 6: Final answer
    x = 713.35

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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.