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Finding the Fourth Proportional to 796.14, 1,098.09 and 464.55

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Solution

The fourth proportional to 796.14, 1,098.09 and 464.55 is: 640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.14 : 1,098.09 = 464.55 : x
  2. Step 2: Convert to fraction form
    796.14/1,098.09 = 464.55/x
  3. Step 3: Cross multiply
    796.14x = 1,098.09 × 464.55
  4. Step 4: Simplify right side
    796.14x = 510,117.71
  5. Step 5: Solve for x
    x = 510,117.71/796.14
  6. Step 6: Final answer
    x = 640.74

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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.