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Finding the Fourth Proportional to 685.94, 945.77 and 545.63

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Solution

The fourth proportional to 685.94, 945.77 and 545.63 is: 752.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.94 : 945.77 = 545.63 : x
  2. Step 2: Convert to fraction form
    685.94/945.77 = 545.63/x
  3. Step 3: Cross multiply
    685.94x = 945.77 × 545.63
  4. Step 4: Simplify right side
    685.94x = 516,033.03
  5. Step 5: Solve for x
    x = 516,033.03/685.94
  6. Step 6: Final answer
    x = 752.31

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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.