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Finding the Fourth Proportional to 1,338.70, 2,008.29 and 472.81

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Solution

The fourth proportional to 1,338.70, 2,008.29 and 472.81 is: 709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.70 : 2,008.29 = 472.81 : x
  2. Step 2: Convert to fraction form
    1,338.70/2,008.29 = 472.81/x
  3. Step 3: Cross multiply
    1,338.70x = 2,008.29 × 472.81
  4. Step 4: Simplify right side
    1,338.70x = 949,539.59
  5. Step 5: Solve for x
    x = 949,539.59/1,338.70
  6. Step 6: Final answer
    x = 709.30

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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.