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Finding the Fourth Proportional to 1,025.32, 1,538.07 and 408.88

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Solution

The fourth proportional to 1,025.32, 1,538.07 and 408.88 is: 613.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.32 : 1,538.07 = 408.88 : x
  2. Step 2: Convert to fraction form
    1,025.32/1,538.07 = 408.88/x
  3. Step 3: Cross multiply
    1,025.32x = 1,538.07 × 408.88
  4. Step 4: Simplify right side
    1,025.32x = 628,886.06
  5. Step 5: Solve for x
    x = 628,886.06/1,025.32
  6. Step 6: Final answer
    x = 613.36

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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.