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Finding the Fourth Proportional to 796.99, 1,100.22 and 587.60

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Solution

The fourth proportional to 796.99, 1,100.22 and 587.60 is: 811.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.99 : 1,100.22 = 587.60 : x
  2. Step 2: Convert to fraction form
    796.99/1,100.22 = 587.60/x
  3. Step 3: Cross multiply
    796.99x = 1,100.22 × 587.60
  4. Step 4: Simplify right side
    796.99x = 646,489.27
  5. Step 5: Solve for x
    x = 646,489.27/796.99
  6. Step 6: Final answer
    x = 811.16

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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.