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Finding the Fourth Proportional to 1,025.80, 1,537.10 and 538.12

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Solution

The fourth proportional to 1,025.80, 1,537.10 and 538.12 is: 806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.80 : 1,537.10 = 538.12 : x
  2. Step 2: Convert to fraction form
    1,025.80/1,537.10 = 538.12/x
  3. Step 3: Cross multiply
    1,025.80x = 1,537.10 × 538.12
  4. Step 4: Simplify right side
    1,025.80x = 827,144.25
  5. Step 5: Solve for x
    x = 827,144.25/1,025.80
  6. Step 6: Final answer
    x = 806.34

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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.