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Finding the Fourth Proportional to 922.07, 1,382.92 and 272.63

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Solution

The fourth proportional to 922.07, 1,382.92 and 272.63 is: 408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.07 : 1,382.92 = 272.63 : x
  2. Step 2: Convert to fraction form
    922.07/1,382.92 = 272.63/x
  3. Step 3: Cross multiply
    922.07x = 1,382.92 × 272.63
  4. Step 4: Simplify right side
    922.07x = 377,025.48
  5. Step 5: Solve for x
    x = 377,025.48/922.07
  6. Step 6: Final answer
    x = 408.89

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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.