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Finding the Fourth Proportional to 1,324.58, 1,987.14 and 400.14

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Solution

The fourth proportional to 1,324.58, 1,987.14 and 400.14 is: 600.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.58 : 1,987.14 = 400.14 : x
  2. Step 2: Convert to fraction form
    1,324.58/1,987.14 = 400.14/x
  3. Step 3: Cross multiply
    1,324.58x = 1,987.14 × 400.14
  4. Step 4: Simplify right side
    1,324.58x = 795,134.20
  5. Step 5: Solve for x
    x = 795,134.20/1,324.58
  6. Step 6: Final answer
    x = 600.29

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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.