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Finding the Fourth Proportional to 911.23, 1,366.21 and 465.63

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Solution

The fourth proportional to 911.23, 1,366.21 and 465.63 is: 698.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.23 : 1,366.21 = 465.63 : x
  2. Step 2: Convert to fraction form
    911.23/1,366.21 = 465.63/x
  3. Step 3: Cross multiply
    911.23x = 1,366.21 × 465.63
  4. Step 4: Simplify right side
    911.23x = 636,146.03
  5. Step 5: Solve for x
    x = 636,146.03/911.23
  6. Step 6: Final answer
    x = 698.12

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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.