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Finding the Fourth Proportional to 782, 1,173.36 and 685.52

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Solution

The fourth proportional to 782, 1,173.36 and 685.52 is: 1,028.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    782 : 1,173.36 = 685.52 : x
  2. Step 2: Convert to fraction form
    782/1,173.36 = 685.52/x
  3. Step 3: Cross multiply
    782x = 1,173.36 × 685.52
  4. Step 4: Simplify right side
    782x = 804,361.75
  5. Step 5: Solve for x
    x = 804,361.75/782
  6. Step 6: Final answer
    x = 1,028.60

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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.