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Finding the Fourth Proportional to 840.92, 1,265.02 and 797.18

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Solution

The fourth proportional to 840.92, 1,265.02 and 797.18 is: 1,199.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.92 : 1,265.02 = 797.18 : x
  2. Step 2: Convert to fraction form
    840.92/1,265.02 = 797.18/x
  3. Step 3: Cross multiply
    840.92x = 1,265.02 × 797.18
  4. Step 4: Simplify right side
    840.92x = 1,008,448.64
  5. Step 5: Solve for x
    x = 1,008,448.64/840.92
  6. Step 6: Final answer
    x = 1,199.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.