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Finding the Fourth Proportional to 922.64, 1,273.08 and 573.44

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Solution

The fourth proportional to 922.64, 1,273.08 and 573.44 is: 791.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.64 : 1,273.08 = 573.44 : x
  2. Step 2: Convert to fraction form
    922.64/1,273.08 = 573.44/x
  3. Step 3: Cross multiply
    922.64x = 1,273.08 × 573.44
  4. Step 4: Simplify right side
    922.64x = 730,035.00
  5. Step 5: Solve for x
    x = 730,035.00/922.64
  6. Step 6: Final answer
    x = 791.25

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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.