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Finding the Fourth Proportional to 796.50, 1,098.23 and 583.74

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Solution

The fourth proportional to 796.50, 1,098.23 and 583.74 is: 804.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.50 : 1,098.23 = 583.74 : x
  2. Step 2: Convert to fraction form
    796.50/1,098.23 = 583.74/x
  3. Step 3: Cross multiply
    796.50x = 1,098.23 × 583.74
  4. Step 4: Simplify right side
    796.50x = 641,077.86
  5. Step 5: Solve for x
    x = 641,077.86/796.50
  6. Step 6: Final answer
    x = 804.87

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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.