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Finding the Fourth Proportional to 922.97, 1,273.70 and 503.33

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Solution

The fourth proportional to 922.97, 1,273.70 and 503.33 is: 694.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.97 : 1,273.70 = 503.33 : x
  2. Step 2: Convert to fraction form
    922.97/1,273.70 = 503.33/x
  3. Step 3: Cross multiply
    922.97x = 1,273.70 × 503.33
  4. Step 4: Simplify right side
    922.97x = 641,082.54
  5. Step 5: Solve for x
    x = 641,082.54/922.97
  6. Step 6: Final answer
    x = 694.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.