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Finding the Fourth Proportional to 796.33, 1,098.84 and 464.69

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Solution

The fourth proportional to 796.33, 1,098.84 and 464.69 is: 641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.33 : 1,098.84 = 464.69 : x
  2. Step 2: Convert to fraction form
    796.33/1,098.84 = 464.69/x
  3. Step 3: Cross multiply
    796.33x = 1,098.84 × 464.69
  4. Step 4: Simplify right side
    796.33x = 510,619.96
  5. Step 5: Solve for x
    x = 510,619.96/796.33
  6. Step 6: Final answer
    x = 641.22

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1.5x scale

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.