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Finding the Fourth Proportional to 764.60, 1,145.92 and 566.68

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Solution

The fourth proportional to 764.60, 1,145.92 and 566.68 is: 849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.60 : 1,145.92 = 566.68 : x
  2. Step 2: Convert to fraction form
    764.60/1,145.92 = 566.68/x
  3. Step 3: Cross multiply
    764.60x = 1,145.92 × 566.68
  4. Step 4: Simplify right side
    764.60x = 649,369.95
  5. Step 5: Solve for x
    x = 649,369.95/764.60
  6. Step 6: Final answer
    x = 849.29

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