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Finding the Fourth Proportional to 681.55, 1,022.36 and 520.22

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Solution

The fourth proportional to 681.55, 1,022.36 and 520.22 is: 780.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.55 : 1,022.36 = 520.22 : x
  2. Step 2: Convert to fraction form
    681.55/1,022.36 = 520.22/x
  3. Step 3: Cross multiply
    681.55x = 1,022.36 × 520.22
  4. Step 4: Simplify right side
    681.55x = 531,852.07
  5. Step 5: Solve for x
    x = 531,852.07/681.55
  6. Step 6: Final answer
    x = 780.36

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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.