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Finding the Fourth Proportional to 1,028.21, 1,542.24 and 297.72

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Solution

The fourth proportional to 1,028.21, 1,542.24 and 297.72 is: 446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.21 : 1,542.24 = 297.72 : x
  2. Step 2: Convert to fraction form
    1,028.21/1,542.24 = 297.72/x
  3. Step 3: Cross multiply
    1,028.21x = 1,542.24 × 297.72
  4. Step 4: Simplify right side
    1,028.21x = 459,155.69
  5. Step 5: Solve for x
    x = 459,155.69/1,028.21
  6. Step 6: Final answer
    x = 446.56

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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.