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Finding the Fourth Proportional to 1,201.25, 1,658.54 and 851.33

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Solution

The fourth proportional to 1,201.25, 1,658.54 and 851.33 is: 1,175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.25 : 1,658.54 = 851.33 : x
  2. Step 2: Convert to fraction form
    1,201.25/1,658.54 = 851.33/x
  3. Step 3: Cross multiply
    1,201.25x = 1,658.54 × 851.33
  4. Step 4: Simplify right side
    1,201.25x = 1,411,964.86
  5. Step 5: Solve for x
    x = 1,411,964.86/1,201.25
  6. Step 6: Final answer
    x = 1,175.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.