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Finding the Fourth Proportional to 796.35, 1,098.68 and 464.66

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Solution

The fourth proportional to 796.35, 1,098.68 and 464.66 is: 641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.35 : 1,098.68 = 464.66 : x
  2. Step 2: Convert to fraction form
    796.35/1,098.68 = 464.66/x
  3. Step 3: Cross multiply
    796.35x = 1,098.68 × 464.66
  4. Step 4: Simplify right side
    796.35x = 510,512.65
  5. Step 5: Solve for x
    x = 510,512.65/796.35
  6. Step 6: Final answer
    x = 641.07

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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.