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Finding the Fourth Proportional to 910.23, 1,254.84 and 769.78

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Solution

The fourth proportional to 910.23, 1,254.84 and 769.78 is: 1,061.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.23 : 1,254.84 = 769.78 : x
  2. Step 2: Convert to fraction form
    910.23/1,254.84 = 769.78/x
  3. Step 3: Cross multiply
    910.23x = 1,254.84 × 769.78
  4. Step 4: Simplify right side
    910.23x = 965,952.66
  5. Step 5: Solve for x
    x = 965,952.66/910.23
  6. Step 6: Final answer
    x = 1,061.22

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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.