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Finding the Fourth Proportional to 817.29, 1,224.34 and 405.18

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Solution

The fourth proportional to 817.29, 1,224.34 and 405.18 is: 606.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.29 : 1,224.34 = 405.18 : x
  2. Step 2: Convert to fraction form
    817.29/1,224.34 = 405.18/x
  3. Step 3: Cross multiply
    817.29x = 1,224.34 × 405.18
  4. Step 4: Simplify right side
    817.29x = 496,077.07
  5. Step 5: Solve for x
    x = 496,077.07/817.29
  6. Step 6: Final answer
    x = 606.98

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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.