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Finding the Fourth Proportional to 922.24, 1,273.60 and 590.82

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Solution

The fourth proportional to 922.24, 1,273.60 and 590.82 is: 815.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.24 : 1,273.60 = 590.82 : x
  2. Step 2: Convert to fraction form
    922.24/1,273.60 = 590.82/x
  3. Step 3: Cross multiply
    922.24x = 1,273.60 × 590.82
  4. Step 4: Simplify right side
    922.24x = 752,468.35
  5. Step 5: Solve for x
    x = 752,468.35/922.24
  6. Step 6: Final answer
    x = 815.91

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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.