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Finding the Fourth Proportional to 769.69, 1,154.88 and 404.39

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Solution

The fourth proportional to 769.69, 1,154.88 and 404.39 is: 606.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.69 : 1,154.88 = 404.39 : x
  2. Step 2: Convert to fraction form
    769.69/1,154.88 = 404.39/x
  3. Step 3: Cross multiply
    769.69x = 1,154.88 × 404.39
  4. Step 4: Simplify right side
    769.69x = 467,021.92
  5. Step 5: Solve for x
    x = 467,021.92/769.69
  6. Step 6: Final answer
    x = 606.77

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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.