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Finding the Fourth Proportional to 769.77, 1,154.42 and 404.36

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Solution

The fourth proportional to 769.77, 1,154.42 and 404.36 is: 606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.77 : 1,154.42 = 404.36 : x
  2. Step 2: Convert to fraction form
    769.77/1,154.42 = 404.36/x
  3. Step 3: Cross multiply
    769.77x = 1,154.42 × 404.36
  4. Step 4: Simplify right side
    769.77x = 466,794.49
  5. Step 5: Solve for x
    x = 466,794.49/769.77
  6. Step 6: Final answer
    x = 606.41

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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.