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Finding the Fourth Proportional to 685.86, 945.86 and 606.89

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Solution

The fourth proportional to 685.86, 945.86 and 606.89 is: 836.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.86 : 945.86 = 606.89 : x
  2. Step 2: Convert to fraction form
    685.86/945.86 = 606.89/x
  3. Step 3: Cross multiply
    685.86x = 945.86 × 606.89
  4. Step 4: Simplify right side
    685.86x = 574,025.21
  5. Step 5: Solve for x
    x = 574,025.21/685.86
  6. Step 6: Final answer
    x = 836.94

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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.