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Finding the Fourth Proportional to 796.23, 1,098.80 and 446.92

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Solution

The fourth proportional to 796.23, 1,098.80 and 446.92 is: 616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.23 : 1,098.80 = 446.92 : x
  2. Step 2: Convert to fraction form
    796.23/1,098.80 = 446.92/x
  3. Step 3: Cross multiply
    796.23x = 1,098.80 × 446.92
  4. Step 4: Simplify right side
    796.23x = 491,075.70
  5. Step 5: Solve for x
    x = 491,075.70/796.23
  6. Step 6: Final answer
    x = 616.75

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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.