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Finding the Fourth Proportional to 920.98, 1,382.02 and 400.97

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Solution

The fourth proportional to 920.98, 1,382.02 and 400.97 is: 601.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.98 : 1,382.02 = 400.97 : x
  2. Step 2: Convert to fraction form
    920.98/1,382.02 = 400.97/x
  3. Step 3: Cross multiply
    920.98x = 1,382.02 × 400.97
  4. Step 4: Simplify right side
    920.98x = 554,148.56
  5. Step 5: Solve for x
    x = 554,148.56/920.98
  6. Step 6: Final answer
    x = 601.69

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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.