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Finding the Fourth Proportional to 817.82, 1,224.63 and 543.06

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Solution

The fourth proportional to 817.82, 1,224.63 and 543.06 is: 813.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.82 : 1,224.63 = 543.06 : x
  2. Step 2: Convert to fraction form
    817.82/1,224.63 = 543.06/x
  3. Step 3: Cross multiply
    817.82x = 1,224.63 × 543.06
  4. Step 4: Simplify right side
    817.82x = 665,047.57
  5. Step 5: Solve for x
    x = 665,047.57/817.82
  6. Step 6: Final answer
    x = 813.20

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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.