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Finding the Fourth Proportional to 795.11, 1,097.24 and 463.73

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Solution

The fourth proportional to 795.11, 1,097.24 and 463.73 is: 639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.11 : 1,097.24 = 463.73 : x
  2. Step 2: Convert to fraction form
    795.11/1,097.24 = 463.73/x
  3. Step 3: Cross multiply
    795.11x = 1,097.24 × 463.73
  4. Step 4: Simplify right side
    795.11x = 508,815.30
  5. Step 5: Solve for x
    x = 508,815.30/795.11
  6. Step 6: Final answer
    x = 639.93

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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.