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Finding the Fourth Proportional to 1,378.72, 2,068.03 and 338.73

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Solution

The fourth proportional to 1,378.72, 2,068.03 and 338.73 is: 508.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.72 : 2,068.03 = 338.73 : x
  2. Step 2: Convert to fraction form
    1,378.72/2,068.03 = 338.73/x
  3. Step 3: Cross multiply
    1,378.72x = 2,068.03 × 338.73
  4. Step 4: Simplify right side
    1,378.72x = 700,496.47
  5. Step 5: Solve for x
    x = 700,496.47/1,378.72
  6. Step 6: Final answer
    x = 508.08

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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.