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Finding the Fourth Proportional to 774.23, 1,160.33 and 408.92

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Solution

The fourth proportional to 774.23, 1,160.33 and 408.92 is: 612.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.23 : 1,160.33 = 408.92 : x
  2. Step 2: Convert to fraction form
    774.23/1,160.33 = 408.92/x
  3. Step 3: Cross multiply
    774.23x = 1,160.33 × 408.92
  4. Step 4: Simplify right side
    774.23x = 474,474.30
  5. Step 5: Solve for x
    x = 474,474.30/774.23
  6. Step 6: Final answer
    x = 612.84

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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.