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Finding the Fourth Proportional to 1,025.18, 1,538.43 and 563.28

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Solution

The fourth proportional to 1,025.18, 1,538.43 and 563.28 is: 845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.18 : 1,538.43 = 563.28 : x
  2. Step 2: Convert to fraction form
    1,025.18/1,538.43 = 563.28/x
  3. Step 3: Cross multiply
    1,025.18x = 1,538.43 × 563.28
  4. Step 4: Simplify right side
    1,025.18x = 866,566.85
  5. Step 5: Solve for x
    x = 866,566.85/1,025.18
  6. Step 6: Final answer
    x = 845.29

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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.