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Finding the Fourth Proportional to 1,269.92, 1,905.20 and 404.24

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Solution

The fourth proportional to 1,269.92, 1,905.20 and 404.24 is: 606.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.92 : 1,905.20 = 404.24 : x
  2. Step 2: Convert to fraction form
    1,269.92/1,905.20 = 404.24/x
  3. Step 3: Cross multiply
    1,269.92x = 1,905.20 × 404.24
  4. Step 4: Simplify right side
    1,269.92x = 770,158.05
  5. Step 5: Solve for x
    x = 770,158.05/1,269.92
  6. Step 6: Final answer
    x = 606.46

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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.