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Finding the Fourth Proportional to 952.36, 1,314.43 and 621.27

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Solution

The fourth proportional to 952.36, 1,314.43 and 621.27 is: 857.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.36 : 1,314.43 = 621.27 : x
  2. Step 2: Convert to fraction form
    952.36/1,314.43 = 621.27/x
  3. Step 3: Cross multiply
    952.36x = 1,314.43 × 621.27
  4. Step 4: Simplify right side
    952.36x = 816,614.37
  5. Step 5: Solve for x
    x = 816,614.37/952.36
  6. Step 6: Final answer
    x = 857.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.