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Finding the Fourth Proportional to 764.58, 1,146.87 and 628.56

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Solution

The fourth proportional to 764.58, 1,146.87 and 628.56 is: 942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.58 : 1,146.87 = 628.56 : x
  2. Step 2: Convert to fraction form
    764.58/1,146.87 = 628.56/x
  3. Step 3: Cross multiply
    764.58x = 1,146.87 × 628.56
  4. Step 4: Simplify right side
    764.58x = 720,876.61
  5. Step 5: Solve for x
    x = 720,876.61/764.58
  6. Step 6: Final answer
    x = 942.84

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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.