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Finding the Fourth Proportional to 795.91, 1,098.31 and 441.83

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Solution

The fourth proportional to 795.91, 1,098.31 and 441.83 is: 609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.91 : 1,098.31 = 441.83 : x
  2. Step 2: Convert to fraction form
    795.91/1,098.31 = 441.83/x
  3. Step 3: Cross multiply
    795.91x = 1,098.31 × 441.83
  4. Step 4: Simplify right side
    795.91x = 485,266.31
  5. Step 5: Solve for x
    x = 485,266.31/795.91
  6. Step 6: Final answer
    x = 609.70

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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.