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Finding the Fourth Proportional to 685.67, 945.39 and 553.04

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Solution

The fourth proportional to 685.67, 945.39 and 553.04 is: 762.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.67 : 945.39 = 553.04 : x
  2. Step 2: Convert to fraction form
    685.67/945.39 = 553.04/x
  3. Step 3: Cross multiply
    685.67x = 945.39 × 553.04
  4. Step 4: Simplify right side
    685.67x = 522,833.76
  5. Step 5: Solve for x
    x = 522,833.76/685.67
  6. Step 6: Final answer
    x = 762.51

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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.