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Finding the Fourth Proportional to 796.84, 1,099.62 and 465.46

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Solution

The fourth proportional to 796.84, 1,099.62 and 465.46 is: 642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.84 : 1,099.62 = 465.46 : x
  2. Step 2: Convert to fraction form
    796.84/1,099.62 = 465.46/x
  3. Step 3: Cross multiply
    796.84x = 1,099.62 × 465.46
  4. Step 4: Simplify right side
    796.84x = 511,829.13
  5. Step 5: Solve for x
    x = 511,829.13/796.84
  6. Step 6: Final answer
    x = 642.32

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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.