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Finding the Fourth Proportional to 1,067.82, 1,473.56 and 602.06

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Solution

The fourth proportional to 1,067.82, 1,473.56 and 602.06 is: 830.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.82 : 1,473.56 = 602.06 : x
  2. Step 2: Convert to fraction form
    1,067.82/1,473.56 = 602.06/x
  3. Step 3: Cross multiply
    1,067.82x = 1,473.56 × 602.06
  4. Step 4: Simplify right side
    1,067.82x = 887,171.53
  5. Step 5: Solve for x
    x = 887,171.53/1,067.82
  6. Step 6: Final answer
    x = 830.82

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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.