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Finding the Fourth Proportional to 1,258.26, 1,735.75 and 816.31

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Solution

The fourth proportional to 1,258.26, 1,735.75 and 816.31 is: 1,126.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.26 : 1,735.75 = 816.31 : x
  2. Step 2: Convert to fraction form
    1,258.26/1,735.75 = 816.31/x
  3. Step 3: Cross multiply
    1,258.26x = 1,735.75 × 816.31
  4. Step 4: Simplify right side
    1,258.26x = 1,416,910.08
  5. Step 5: Solve for x
    x = 1,416,910.08/1,258.26
  6. Step 6: Final answer
    x = 1,126.09

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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.