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Finding the Fourth Proportional to 911.73, 1,257.97 and 597.05

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Solution

The fourth proportional to 911.73, 1,257.97 and 597.05 is: 823.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.73 : 1,257.97 = 597.05 : x
  2. Step 2: Convert to fraction form
    911.73/1,257.97 = 597.05/x
  3. Step 3: Cross multiply
    911.73x = 1,257.97 × 597.05
  4. Step 4: Simplify right side
    911.73x = 751,070.99
  5. Step 5: Solve for x
    x = 751,070.99/911.73
  6. Step 6: Final answer
    x = 823.79

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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.