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Finding the Fourth Proportional to 606.86, 837.96 and 494.84

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Solution

The fourth proportional to 606.86, 837.96 and 494.84 is: 683.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.86 : 837.96 = 494.84 : x
  2. Step 2: Convert to fraction form
    606.86/837.96 = 494.84/x
  3. Step 3: Cross multiply
    606.86x = 837.96 × 494.84
  4. Step 4: Simplify right side
    606.86x = 414,656.13
  5. Step 5: Solve for x
    x = 414,656.13/606.86
  6. Step 6: Final answer
    x = 683.28

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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.