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Finding the Fourth Proportional to 817.01, 1,224.87 and 405.92

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Solution

The fourth proportional to 817.01, 1,224.87 and 405.92 is: 608.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.01 : 1,224.87 = 405.92 : x
  2. Step 2: Convert to fraction form
    817.01/1,224.87 = 405.92/x
  3. Step 3: Cross multiply
    817.01x = 1,224.87 × 405.92
  4. Step 4: Simplify right side
    817.01x = 497,204.78
  5. Step 5: Solve for x
    x = 497,204.78/817.01
  6. Step 6: Final answer
    x = 608.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.