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Finding the Fourth Proportional to 1,185.05, 1,777.48 and 599.83

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Solution

The fourth proportional to 1,185.05, 1,777.48 and 599.83 is: 899.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.05 : 1,777.48 = 599.83 : x
  2. Step 2: Convert to fraction form
    1,185.05/1,777.48 = 599.83/x
  3. Step 3: Cross multiply
    1,185.05x = 1,777.48 × 599.83
  4. Step 4: Simplify right side
    1,185.05x = 1,066,185.83
  5. Step 5: Solve for x
    x = 1,066,185.83/1,185.05
  6. Step 6: Final answer
    x = 899.70

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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.