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Finding the Fourth Proportional to 766.95, 1,143.53 and 754.80

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Solution

The fourth proportional to 766.95, 1,143.53 and 754.80 is: 1,125.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.95 : 1,143.53 = 754.80 : x
  2. Step 2: Convert to fraction form
    766.95/1,143.53 = 754.80/x
  3. Step 3: Cross multiply
    766.95x = 1,143.53 × 754.80
  4. Step 4: Simplify right side
    766.95x = 863,132.67
  5. Step 5: Solve for x
    x = 863,132.67/766.95
  6. Step 6: Final answer
    x = 1,125.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.