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Finding the Fourth Proportional to 1,195.14, 1,791.53 and 502.28

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Solution

The fourth proportional to 1,195.14, 1,791.53 and 502.28 is: 752.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.14 : 1,791.53 = 502.28 : x
  2. Step 2: Convert to fraction form
    1,195.14/1,791.53 = 502.28/x
  3. Step 3: Cross multiply
    1,195.14x = 1,791.53 × 502.28
  4. Step 4: Simplify right side
    1,195.14x = 899,849.69
  5. Step 5: Solve for x
    x = 899,849.69/1,195.14
  6. Step 6: Final answer
    x = 752.92

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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.