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Finding the Fourth Proportional to 922.62, 1,382.38 and 648.22

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Solution

The fourth proportional to 922.62, 1,382.38 and 648.22 is: 971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.62 : 1,382.38 = 648.22 : x
  2. Step 2: Convert to fraction form
    922.62/1,382.38 = 648.22/x
  3. Step 3: Cross multiply
    922.62x = 1,382.38 × 648.22
  4. Step 4: Simplify right side
    922.62x = 896,087.53
  5. Step 5: Solve for x
    x = 896,087.53/922.62
  6. Step 6: Final answer
    x = 971.24

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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.