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Finding the Fourth Proportional to 1,215.82, 1,824.34 and 567.02

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Solution

The fourth proportional to 1,215.82, 1,824.34 and 567.02 is: 850.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.82 : 1,824.34 = 567.02 : x
  2. Step 2: Convert to fraction form
    1,215.82/1,824.34 = 567.02/x
  3. Step 3: Cross multiply
    1,215.82x = 1,824.34 × 567.02
  4. Step 4: Simplify right side
    1,215.82x = 1,034,437.27
  5. Step 5: Solve for x
    x = 1,034,437.27/1,215.82
  6. Step 6: Final answer
    x = 850.81

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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.