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Finding the Fourth Proportional to 779.84, 1,169.81 and 224.56

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Solution

The fourth proportional to 779.84, 1,169.81 and 224.56 is: 336.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.84 : 1,169.81 = 224.56 : x
  2. Step 2: Convert to fraction form
    779.84/1,169.81 = 224.56/x
  3. Step 3: Cross multiply
    779.84x = 1,169.81 × 224.56
  4. Step 4: Simplify right side
    779.84x = 262,693.72
  5. Step 5: Solve for x
    x = 262,693.72/779.84
  6. Step 6: Final answer
    x = 336.86

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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.