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Finding the Fourth Proportional to 922.94, 1,382.78 and 537.38

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Solution

The fourth proportional to 922.94, 1,382.78 and 537.38 is: 805.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.94 : 1,382.78 = 537.38 : x
  2. Step 2: Convert to fraction form
    922.94/1,382.78 = 537.38/x
  3. Step 3: Cross multiply
    922.94x = 1,382.78 × 537.38
  4. Step 4: Simplify right side
    922.94x = 743,072.75
  5. Step 5: Solve for x
    x = 743,072.75/922.94
  6. Step 6: Final answer
    x = 805.12

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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.