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Finding the Fourth Proportional to 766.65, 1,149.67 and 593.52

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Solution

The fourth proportional to 766.65, 1,149.67 and 593.52 is: 890.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.65 : 1,149.67 = 593.52 : x
  2. Step 2: Convert to fraction form
    766.65/1,149.67 = 593.52/x
  3. Step 3: Cross multiply
    766.65x = 1,149.67 × 593.52
  4. Step 4: Simplify right side
    766.65x = 682,352.14
  5. Step 5: Solve for x
    x = 682,352.14/766.65
  6. Step 6: Final answer
    x = 890.04

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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.