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Finding the Fourth Proportional to 796.80, 1,098.96 and 586.86

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Solution

The fourth proportional to 796.80, 1,098.96 and 586.86 is: 809.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.80 : 1,098.96 = 586.86 : x
  2. Step 2: Convert to fraction form
    796.80/1,098.96 = 586.86/x
  3. Step 3: Cross multiply
    796.80x = 1,098.96 × 586.86
  4. Step 4: Simplify right side
    796.80x = 644,935.67
  5. Step 5: Solve for x
    x = 644,935.67/796.80
  6. Step 6: Final answer
    x = 809.41

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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.