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Finding the Fourth Proportional to 795, 1,097.09 and 463.65

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Solution

The fourth proportional to 795, 1,097.09 and 463.65 is: 639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    795 : 1,097.09 = 463.65 : x
  2. Step 2: Convert to fraction form
    795/1,097.09 = 463.65/x
  3. Step 3: Cross multiply
    795x = 1,097.09 × 463.65
  4. Step 4: Simplify right side
    795x = 508,665.78
  5. Step 5: Solve for x
    x = 508,665.78/795
  6. Step 6: Final answer
    x = 639.83

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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.