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Finding the Fourth Proportional to 1,028.31, 1,542.83 and 472.74

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Solution

The fourth proportional to 1,028.31, 1,542.83 and 472.74 is: 709.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.31 : 1,542.83 = 472.74 : x
  2. Step 2: Convert to fraction form
    1,028.31/1,542.83 = 472.74/x
  3. Step 3: Cross multiply
    1,028.31x = 1,542.83 × 472.74
  4. Step 4: Simplify right side
    1,028.31x = 729,357.45
  5. Step 5: Solve for x
    x = 729,357.45/1,028.31
  6. Step 6: Final answer
    x = 709.28

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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.