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Finding the Fourth Proportional to 817.44, 1,224.62 and 406.10

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Solution

The fourth proportional to 817.44, 1,224.62 and 406.10 is: 608.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.44 : 1,224.62 = 406.10 : x
  2. Step 2: Convert to fraction form
    817.44/1,224.62 = 406.10/x
  3. Step 3: Cross multiply
    817.44x = 1,224.62 × 406.10
  4. Step 4: Simplify right side
    817.44x = 497,318.18
  5. Step 5: Solve for x
    x = 497,318.18/817.44
  6. Step 6: Final answer
    x = 608.38

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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.