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Finding the Fourth Proportional to 796.30, 1,098.88 and 446.98

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Solution

The fourth proportional to 796.30, 1,098.88 and 446.98 is: 616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.30 : 1,098.88 = 446.98 : x
  2. Step 2: Convert to fraction form
    796.30/1,098.88 = 446.98/x
  3. Step 3: Cross multiply
    796.30x = 1,098.88 × 446.98
  4. Step 4: Simplify right side
    796.30x = 491,177.38
  5. Step 5: Solve for x
    x = 491,177.38/796.30
  6. Step 6: Final answer
    x = 616.82

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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.