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Finding the Fourth Proportional to 685.73, 946.42 and 539.48

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Solution

The fourth proportional to 685.73, 946.42 and 539.48 is: 744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.73 : 946.42 = 539.48 : x
  2. Step 2: Convert to fraction form
    685.73/946.42 = 539.48/x
  3. Step 3: Cross multiply
    685.73x = 946.42 × 539.48
  4. Step 4: Simplify right side
    685.73x = 510,567.23
  5. Step 5: Solve for x
    x = 510,567.23/685.73
  6. Step 6: Final answer
    x = 744.57

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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.