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Finding the Fourth Proportional to 1,338.30, 2,007.51 and 516.28

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Solution

The fourth proportional to 1,338.30, 2,007.51 and 516.28 is: 774.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.30 : 2,007.51 = 516.28 : x
  2. Step 2: Convert to fraction form
    1,338.30/2,007.51 = 516.28/x
  3. Step 3: Cross multiply
    1,338.30x = 2,007.51 × 516.28
  4. Step 4: Simplify right side
    1,338.30x = 1,036,437.26
  5. Step 5: Solve for x
    x = 1,036,437.26/1,338.30
  6. Step 6: Final answer
    x = 774.44

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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.