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Finding the Fourth Proportional to 874.09, 1,310.73 and 257.64

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Solution

The fourth proportional to 874.09, 1,310.73 and 257.64 is: 386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.09 : 1,310.73 = 257.64 : x
  2. Step 2: Convert to fraction form
    874.09/1,310.73 = 257.64/x
  3. Step 3: Cross multiply
    874.09x = 1,310.73 × 257.64
  4. Step 4: Simplify right side
    874.09x = 337,696.48
  5. Step 5: Solve for x
    x = 337,696.48/874.09
  6. Step 6: Final answer
    x = 386.34

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