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Finding the Fourth Proportional to 1,246.30, 1,869.22 and 466.12

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Solution

The fourth proportional to 1,246.30, 1,869.22 and 466.12 is: 699.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.30 : 1,869.22 = 466.12 : x
  2. Step 2: Convert to fraction form
    1,246.30/1,869.22 = 466.12/x
  3. Step 3: Cross multiply
    1,246.30x = 1,869.22 × 466.12
  4. Step 4: Simplify right side
    1,246.30x = 871,280.83
  5. Step 5: Solve for x
    x = 871,280.83/1,246.30
  6. Step 6: Final answer
    x = 699.09

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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.