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Finding the Fourth Proportional to 922.82, 1,273.19 and 529.70

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Solution

The fourth proportional to 922.82, 1,273.19 and 529.70 is: 730.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.82 : 1,273.19 = 529.70 : x
  2. Step 2: Convert to fraction form
    922.82/1,273.19 = 529.70/x
  3. Step 3: Cross multiply
    922.82x = 1,273.19 × 529.70
  4. Step 4: Simplify right side
    922.82x = 674,399.73
  5. Step 5: Solve for x
    x = 674,399.73/922.82
  6. Step 6: Final answer
    x = 730.81

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