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Finding the Fourth Proportional to 923.10, 1,273.98 and 573.84

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Solution

The fourth proportional to 923.10, 1,273.98 and 573.84 is: 791.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.10 : 1,273.98 = 573.84 : x
  2. Step 2: Convert to fraction form
    923.10/1,273.98 = 573.84/x
  3. Step 3: Cross multiply
    923.10x = 1,273.98 × 573.84
  4. Step 4: Simplify right side
    923.10x = 731,060.68
  5. Step 5: Solve for x
    x = 731,060.68/923.10
  6. Step 6: Final answer
    x = 791.96

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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.