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Finding the Fourth Proportional to 1,249.10, 1,873.23 and 599.42

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Solution

The fourth proportional to 1,249.10, 1,873.23 and 599.42 is: 898.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.10 : 1,873.23 = 599.42 : x
  2. Step 2: Convert to fraction form
    1,249.10/1,873.23 = 599.42/x
  3. Step 3: Cross multiply
    1,249.10x = 1,873.23 × 599.42
  4. Step 4: Simplify right side
    1,249.10x = 1,122,851.53
  5. Step 5: Solve for x
    x = 1,122,851.53/1,249.10
  6. Step 6: Final answer
    x = 898.93

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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.