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Finding the Fourth Proportional to 769.10, 1,154.25 and 398.52

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Solution

The fourth proportional to 769.10, 1,154.25 and 398.52 is: 598.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.10 : 1,154.25 = 398.52 : x
  2. Step 2: Convert to fraction form
    769.10/1,154.25 = 398.52/x
  3. Step 3: Cross multiply
    769.10x = 1,154.25 × 398.52
  4. Step 4: Simplify right side
    769.10x = 459,991.71
  5. Step 5: Solve for x
    x = 459,991.71/769.10
  6. Step 6: Final answer
    x = 598.09

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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.