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Finding the Fourth Proportional to 795.97, 1,098.44 and 464.59

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Solution

The fourth proportional to 795.97, 1,098.44 and 464.59 is: 641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.97 : 1,098.44 = 464.59 : x
  2. Step 2: Convert to fraction form
    795.97/1,098.44 = 464.59/x
  3. Step 3: Cross multiply
    795.97x = 1,098.44 × 464.59
  4. Step 4: Simplify right side
    795.97x = 510,324.24
  5. Step 5: Solve for x
    x = 510,324.24/795.97
  6. Step 6: Final answer
    x = 641.14

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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.