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Finding the Fourth Proportional to 921.76, 1,382.22 and 401.74

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Solution

The fourth proportional to 921.76, 1,382.22 and 401.74 is: 602.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.76 : 1,382.22 = 401.74 : x
  2. Step 2: Convert to fraction form
    921.76/1,382.22 = 401.74/x
  3. Step 3: Cross multiply
    921.76x = 1,382.22 × 401.74
  4. Step 4: Simplify right side
    921.76x = 555,293.06
  5. Step 5: Solve for x
    x = 555,293.06/921.76
  6. Step 6: Final answer
    x = 602.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.