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Finding the Fourth Proportional to 1,215.86, 1,824.60 and 566.66

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Solution

The fourth proportional to 1,215.86, 1,824.60 and 566.66 is: 850.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.86 : 1,824.60 = 566.66 : x
  2. Step 2: Convert to fraction form
    1,215.86/1,824.60 = 566.66/x
  3. Step 3: Cross multiply
    1,215.86x = 1,824.60 × 566.66
  4. Step 4: Simplify right side
    1,215.86x = 1,033,927.84
  5. Step 5: Solve for x
    x = 1,033,927.84/1,215.86
  6. Step 6: Final answer
    x = 850.37

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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.