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Finding the Fourth Proportional to 1,028.06, 1,542.16 and 378.58

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Solution

The fourth proportional to 1,028.06, 1,542.16 and 378.58 is: 567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.06 : 1,542.16 = 378.58 : x
  2. Step 2: Convert to fraction form
    1,028.06/1,542.16 = 378.58/x
  3. Step 3: Cross multiply
    1,028.06x = 1,542.16 × 378.58
  4. Step 4: Simplify right side
    1,028.06x = 583,830.93
  5. Step 5: Solve for x
    x = 583,830.93/1,028.06
  6. Step 6: Final answer
    x = 567.90

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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.