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Finding the Fourth Proportional to 921.22, 1,382.07 and 400.99

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Solution

The fourth proportional to 921.22, 1,382.07 and 400.99 is: 601.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.22 : 1,382.07 = 400.99 : x
  2. Step 2: Convert to fraction form
    921.22/1,382.07 = 400.99/x
  3. Step 3: Cross multiply
    921.22x = 1,382.07 × 400.99
  4. Step 4: Simplify right side
    921.22x = 554,196.25
  5. Step 5: Solve for x
    x = 554,196.25/921.22
  6. Step 6: Final answer
    x = 601.59

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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.