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Finding the Fourth Proportional to 796.77, 1,099.48 and 465.16

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Solution

The fourth proportional to 796.77, 1,099.48 and 465.16 is: 641.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.77 : 1,099.48 = 465.16 : x
  2. Step 2: Convert to fraction form
    796.77/1,099.48 = 465.16/x
  3. Step 3: Cross multiply
    796.77x = 1,099.48 × 465.16
  4. Step 4: Simplify right side
    796.77x = 511,434.12
  5. Step 5: Solve for x
    x = 511,434.12/796.77
  6. Step 6: Final answer
    x = 641.88

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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.