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Finding the Fourth Proportional to 817.82, 1,224.03 and 509.90

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Solution

The fourth proportional to 817.82, 1,224.03 and 509.90 is: 763.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.82 : 1,224.03 = 509.90 : x
  2. Step 2: Convert to fraction form
    817.82/1,224.03 = 509.90/x
  3. Step 3: Cross multiply
    817.82x = 1,224.03 × 509.90
  4. Step 4: Simplify right side
    817.82x = 624,132.90
  5. Step 5: Solve for x
    x = 624,132.90/817.82
  6. Step 6: Final answer
    x = 763.17

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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.