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Finding the Fourth Proportional to 606.89, 836.83 and 496.02

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Solution

The fourth proportional to 606.89, 836.83 and 496.02 is: 683.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.89 : 836.83 = 496.02 : x
  2. Step 2: Convert to fraction form
    606.89/836.83 = 496.02/x
  3. Step 3: Cross multiply
    606.89x = 836.83 × 496.02
  4. Step 4: Simplify right side
    606.89x = 415,088.17
  5. Step 5: Solve for x
    x = 415,088.17/606.89
  6. Step 6: Final answer
    x = 683.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.