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Finding the Fourth Proportional to 796.72, 1,099.53 and 465.13

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Solution

The fourth proportional to 796.72, 1,099.53 and 465.13 is: 641.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.72 : 1,099.53 = 465.13 : x
  2. Step 2: Convert to fraction form
    796.72/1,099.53 = 465.13/x
  3. Step 3: Cross multiply
    796.72x = 1,099.53 × 465.13
  4. Step 4: Simplify right side
    796.72x = 511,422.06
  5. Step 5: Solve for x
    x = 511,422.06/796.72
  6. Step 6: Final answer
    x = 641.91

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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.