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Finding the Fourth Proportional to 910.19, 1,256.02 and 517.22

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Solution

The fourth proportional to 910.19, 1,256.02 and 517.22 is: 713.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.19 : 1,256.02 = 517.22 : x
  2. Step 2: Convert to fraction form
    910.19/1,256.02 = 517.22/x
  3. Step 3: Cross multiply
    910.19x = 1,256.02 × 517.22
  4. Step 4: Simplify right side
    910.19x = 649,635.80
  5. Step 5: Solve for x
    x = 649,635.80/910.19
  6. Step 6: Final answer
    x = 713.73

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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.