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Finding the Fourth Proportional to 1,014.14, 1,520.30 and 398.28

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Solution

The fourth proportional to 1,014.14, 1,520.30 and 398.28 is: 597.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.14 : 1,520.30 = 398.28 : x
  2. Step 2: Convert to fraction form
    1,014.14/1,520.30 = 398.28/x
  3. Step 3: Cross multiply
    1,014.14x = 1,520.30 × 398.28
  4. Step 4: Simplify right side
    1,014.14x = 605,505.08
  5. Step 5: Solve for x
    x = 605,505.08/1,014.14
  6. Step 6: Final answer
    x = 597.06

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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.