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Finding the Fourth Proportional to 922.72, 1,383.44 and 490.18

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Solution

The fourth proportional to 922.72, 1,383.44 and 490.18 is: 734.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.72 : 1,383.44 = 490.18 : x
  2. Step 2: Convert to fraction form
    922.72/1,383.44 = 490.18/x
  3. Step 3: Cross multiply
    922.72x = 1,383.44 × 490.18
  4. Step 4: Simplify right side
    922.72x = 678,134.62
  5. Step 5: Solve for x
    x = 678,134.62/922.72
  6. Step 6: Final answer
    x = 734.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.