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Finding the Fourth Proportional to 796.61, 1,192.62 and 706.43

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Solution

The fourth proportional to 796.61, 1,192.62 and 706.43 is: 1,057.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.61 : 1,192.62 = 706.43 : x
  2. Step 2: Convert to fraction form
    796.61/1,192.62 = 706.43/x
  3. Step 3: Cross multiply
    796.61x = 1,192.62 × 706.43
  4. Step 4: Simplify right side
    796.61x = 842,502.55
  5. Step 5: Solve for x
    x = 842,502.55/796.61
  6. Step 6: Final answer
    x = 1,057.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.