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Finding the Fourth Proportional to 1,185.88, 1,777.29 and 568.30

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Solution

The fourth proportional to 1,185.88, 1,777.29 and 568.30 is: 851.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.88 : 1,777.29 = 568.30 : x
  2. Step 2: Convert to fraction form
    1,185.88/1,777.29 = 568.30/x
  3. Step 3: Cross multiply
    1,185.88x = 1,777.29 × 568.30
  4. Step 4: Simplify right side
    1,185.88x = 1,010,027.33
  5. Step 5: Solve for x
    x = 1,010,027.33/1,185.88
  6. Step 6: Final answer
    x = 851.71

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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.