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Finding the Fourth Proportional to 1,246.38, 1,869.97 and 380.69

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Solution

The fourth proportional to 1,246.38, 1,869.97 and 380.69 is: 571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.38 : 1,869.97 = 380.69 : x
  2. Step 2: Convert to fraction form
    1,246.38/1,869.97 = 380.69/x
  3. Step 3: Cross multiply
    1,246.38x = 1,869.97 × 380.69
  4. Step 4: Simplify right side
    1,246.38x = 711,878.88
  5. Step 5: Solve for x
    x = 711,878.88/1,246.38
  6. Step 6: Final answer
    x = 571.16

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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.