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Finding the Fourth Proportional to 763.44, 1,144.04 and 676.95

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Solution

The fourth proportional to 763.44, 1,144.04 and 676.95 is: 1,014.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.44 : 1,144.04 = 676.95 : x
  2. Step 2: Convert to fraction form
    763.44/1,144.04 = 676.95/x
  3. Step 3: Cross multiply
    763.44x = 1,144.04 × 676.95
  4. Step 4: Simplify right side
    763.44x = 774,454.49
  5. Step 5: Solve for x
    x = 774,454.49/763.44
  6. Step 6: Final answer
    x = 1,014.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.