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Finding the Fourth Proportional to 1,030.82, 1,422.50 and 605.44

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Solution

The fourth proportional to 1,030.82, 1,422.50 and 605.44 is: 835.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.82 : 1,422.50 = 605.44 : x
  2. Step 2: Convert to fraction form
    1,030.82/1,422.50 = 605.44/x
  3. Step 3: Cross multiply
    1,030.82x = 1,422.50 × 605.44
  4. Step 4: Simplify right side
    1,030.82x = 861,228.26
  5. Step 5: Solve for x
    x = 861,228.26/1,030.82
  6. Step 6: Final answer
    x = 835.48

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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.