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Finding the Fourth Proportional to 1,202.78, 1,804.99 and 422.79

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Solution

The fourth proportional to 1,202.78, 1,804.99 and 422.79 is: 634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.78 : 1,804.99 = 422.79 : x
  2. Step 2: Convert to fraction form
    1,202.78/1,804.99 = 422.79/x
  3. Step 3: Cross multiply
    1,202.78x = 1,804.99 × 422.79
  4. Step 4: Simplify right side
    1,202.78x = 763,130.67
  5. Step 5: Solve for x
    x = 763,130.67/1,202.78
  6. Step 6: Final answer
    x = 634.47

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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.