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Finding the Fourth Proportional to 910.30, 1,256.03 and 517.31

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Solution

The fourth proportional to 910.30, 1,256.03 and 517.31 is: 713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.30 : 1,256.03 = 517.31 : x
  2. Step 2: Convert to fraction form
    910.30/1,256.03 = 517.31/x
  3. Step 3: Cross multiply
    910.30x = 1,256.03 × 517.31
  4. Step 4: Simplify right side
    910.30x = 649,754.29
  5. Step 5: Solve for x
    x = 649,754.29/910.30
  6. Step 6: Final answer
    x = 713.78

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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.