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Finding the Fourth Proportional to 836.82, 1,254.35 and 605.60

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Solution

The fourth proportional to 836.82, 1,254.35 and 605.60 is: 907.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.82 : 1,254.35 = 605.60 : x
  2. Step 2: Convert to fraction form
    836.82/1,254.35 = 605.60/x
  3. Step 3: Cross multiply
    836.82x = 1,254.35 × 605.60
  4. Step 4: Simplify right side
    836.82x = 759,634.36
  5. Step 5: Solve for x
    x = 759,634.36/836.82
  6. Step 6: Final answer
    x = 907.76

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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.