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Finding the Fourth Proportional to 1,195.57, 1,792.67 and 950.34

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Solution

The fourth proportional to 1,195.57, 1,792.67 and 950.34 is: 1,424.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.57 : 1,792.67 = 950.34 : x
  2. Step 2: Convert to fraction form
    1,195.57/1,792.67 = 950.34/x
  3. Step 3: Cross multiply
    1,195.57x = 1,792.67 × 950.34
  4. Step 4: Simplify right side
    1,195.57x = 1,703,646.01
  5. Step 5: Solve for x
    x = 1,703,646.01/1,195.57
  6. Step 6: Final answer
    x = 1,424.97

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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.