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Finding the Fourth Proportional to 1,064.75, 1,468.31 and 1,003.24

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Solution

The fourth proportional to 1,064.75, 1,468.31 and 1,003.24 is: 1,383.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.75 : 1,468.31 = 1,003.24 : x
  2. Step 2: Convert to fraction form
    1,064.75/1,468.31 = 1,003.24/x
  3. Step 3: Cross multiply
    1,064.75x = 1,468.31 × 1,003.24
  4. Step 4: Simplify right side
    1,064.75x = 1,473,067.32
  5. Step 5: Solve for x
    x = 1,473,067.32/1,064.75
  6. Step 6: Final answer
    x = 1,383.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.