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Finding the Fourth Proportional to 911.20, 1,366.06 and 424.12

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Solution

The fourth proportional to 911.20, 1,366.06 and 424.12 is: 635.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.20 : 1,366.06 = 424.12 : x
  2. Step 2: Convert to fraction form
    911.20/1,366.06 = 424.12/x
  3. Step 3: Cross multiply
    911.20x = 1,366.06 × 424.12
  4. Step 4: Simplify right side
    911.20x = 579,373.37
  5. Step 5: Solve for x
    x = 579,373.37/911.20
  6. Step 6: Final answer
    x = 635.84

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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.