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Finding the Fourth Proportional to 1,011.97, 1,516.64 and 456.27

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Solution

The fourth proportional to 1,011.97, 1,516.64 and 456.27 is: 683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.97 : 1,516.64 = 456.27 : x
  2. Step 2: Convert to fraction form
    1,011.97/1,516.64 = 456.27/x
  3. Step 3: Cross multiply
    1,011.97x = 1,516.64 × 456.27
  4. Step 4: Simplify right side
    1,011.97x = 691,997.33
  5. Step 5: Solve for x
    x = 691,997.33/1,011.97
  6. Step 6: Final answer
    x = 683.81

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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.