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Finding the Fourth Proportional to 910.13, 1,255.97 and 517.19

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Solution

The fourth proportional to 910.13, 1,255.97 and 517.19 is: 713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.13 : 1,255.97 = 517.19 : x
  2. Step 2: Convert to fraction form
    910.13/1,255.97 = 517.19/x
  3. Step 3: Cross multiply
    910.13x = 1,255.97 × 517.19
  4. Step 4: Simplify right side
    910.13x = 649,570.14
  5. Step 5: Solve for x
    x = 649,570.14/910.13
  6. Step 6: Final answer
    x = 713.72

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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.