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Finding the Fourth Proportional to 769.83, 1,153.78 and 606.87

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Solution

The fourth proportional to 769.83, 1,153.78 and 606.87 is: 909.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.83 : 1,153.78 = 606.87 : x
  2. Step 2: Convert to fraction form
    769.83/1,153.78 = 606.87/x
  3. Step 3: Cross multiply
    769.83x = 1,153.78 × 606.87
  4. Step 4: Simplify right side
    769.83x = 700,194.47
  5. Step 5: Solve for x
    x = 700,194.47/769.83
  6. Step 6: Final answer
    x = 909.54

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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.