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Finding the Fourth Proportional to 1,337.82, 2,007 and 516.06

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Solution

The fourth proportional to 1,337.82, 2,007 and 516.06 is: 774.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.82 : 2,007 = 516.06 : x
  2. Step 2: Convert to fraction form
    1,337.82/2,007 = 516.06/x
  3. Step 3: Cross multiply
    1,337.82x = 2,007 × 516.06
  4. Step 4: Simplify right side
    1,337.82x = 1,035,732.42
  5. Step 5: Solve for x
    x = 1,035,732.42/1,337.82
  6. Step 6: Final answer
    x = 774.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.