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Finding the Fourth Proportional to 796.12, 1,097.91 and 609.26

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Solution

The fourth proportional to 796.12, 1,097.91 and 609.26 is: 840.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.12 : 1,097.91 = 609.26 : x
  2. Step 2: Convert to fraction form
    796.12/1,097.91 = 609.26/x
  3. Step 3: Cross multiply
    796.12x = 1,097.91 × 609.26
  4. Step 4: Simplify right side
    796.12x = 668,907.16
  5. Step 5: Solve for x
    x = 668,907.16/796.12
  6. Step 6: Final answer
    x = 840.21

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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.