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Finding the Fourth Proportional to 766.03, 1,147.72 and 602.56

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Solution

The fourth proportional to 766.03, 1,147.72 and 602.56 is: 902.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.03 : 1,147.72 = 602.56 : x
  2. Step 2: Convert to fraction form
    766.03/1,147.72 = 602.56/x
  3. Step 3: Cross multiply
    766.03x = 1,147.72 × 602.56
  4. Step 4: Simplify right side
    766.03x = 691,561.41
  5. Step 5: Solve for x
    x = 691,561.41/766.03
  6. Step 6: Final answer
    x = 902.79

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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.