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Finding the Fourth Proportional to 1,185.27, 1,777.41 and 568.83

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Solution

The fourth proportional to 1,185.27, 1,777.41 and 568.83 is: 853.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.27 : 1,777.41 = 568.83 : x
  2. Step 2: Convert to fraction form
    1,185.27/1,777.41 = 568.83/x
  3. Step 3: Cross multiply
    1,185.27x = 1,777.41 × 568.83
  4. Step 4: Simplify right side
    1,185.27x = 1,011,044.13
  5. Step 5: Solve for x
    x = 1,011,044.13/1,185.27
  6. Step 6: Final answer
    x = 853.01

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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.