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Finding the Fourth Proportional to 796.86, 1,099.66 and 465.30

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Solution

The fourth proportional to 796.86, 1,099.66 and 465.30 is: 642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.86 : 1,099.66 = 465.30 : x
  2. Step 2: Convert to fraction form
    796.86/1,099.66 = 465.30/x
  3. Step 3: Cross multiply
    796.86x = 1,099.66 × 465.30
  4. Step 4: Simplify right side
    796.86x = 511,671.80
  5. Step 5: Solve for x
    x = 511,671.80/796.86
  6. Step 6: Final answer
    x = 642.11

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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.