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Finding the Fourth Proportional to 1,249.10, 1,873.65 and 383.42

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Solution

The fourth proportional to 1,249.10, 1,873.65 and 383.42 is: 575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.10 : 1,873.65 = 383.42 : x
  2. Step 2: Convert to fraction form
    1,249.10/1,873.65 = 383.42/x
  3. Step 3: Cross multiply
    1,249.10x = 1,873.65 × 383.42
  4. Step 4: Simplify right side
    1,249.10x = 718,394.88
  5. Step 5: Solve for x
    x = 718,394.88/1,249.10
  6. Step 6: Final answer
    x = 575.13

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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.