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Finding the Fourth Proportional to 796.66, 1,188.35 and 667.48

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Solution

The fourth proportional to 796.66, 1,188.35 and 667.48 is: 995.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.66 : 1,188.35 = 667.48 : x
  2. Step 2: Convert to fraction form
    796.66/1,188.35 = 667.48/x
  3. Step 3: Cross multiply
    796.66x = 1,188.35 × 667.48
  4. Step 4: Simplify right side
    796.66x = 793,199.86
  5. Step 5: Solve for x
    x = 793,199.86/796.66
  6. Step 6: Final answer
    x = 995.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.