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Finding the Fourth Proportional to 1,028.27, 1,543.07 and 378.95

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Solution

The fourth proportional to 1,028.27, 1,543.07 and 378.95 is: 568.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.27 : 1,543.07 = 378.95 : x
  2. Step 2: Convert to fraction form
    1,028.27/1,543.07 = 378.95/x
  3. Step 3: Cross multiply
    1,028.27x = 1,543.07 × 378.95
  4. Step 4: Simplify right side
    1,028.27x = 584,744.48
  5. Step 5: Solve for x
    x = 584,744.48/1,028.27
  6. Step 6: Final answer
    x = 568.67

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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.