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Finding the Fourth Proportional to 939.23, 1,400.86 and 816.51

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Solution

The fourth proportional to 939.23, 1,400.86 and 816.51 is: 1,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.23 : 1,400.86 = 816.51 : x
  2. Step 2: Convert to fraction form
    939.23/1,400.86 = 816.51/x
  3. Step 3: Cross multiply
    939.23x = 1,400.86 × 816.51
  4. Step 4: Simplify right side
    939.23x = 1,143,816.20
  5. Step 5: Solve for x
    x = 1,143,816.20/939.23
  6. Step 6: Final answer
    x = 1,217.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.