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Finding the Fourth Proportional to 1,337.78, 2,007.28 and 516.24

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Solution

The fourth proportional to 1,337.78, 2,007.28 and 516.24 is: 774.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.78 : 2,007.28 = 516.24 : x
  2. Step 2: Convert to fraction form
    1,337.78/2,007.28 = 516.24/x
  3. Step 3: Cross multiply
    1,337.78x = 2,007.28 × 516.24
  4. Step 4: Simplify right side
    1,337.78x = 1,036,238.23
  5. Step 5: Solve for x
    x = 1,036,238.23/1,337.78
  6. Step 6: Final answer
    x = 774.60

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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.