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Finding the Fourth Proportional to 1,258.26, 1,736.28 and 1,165.38

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Solution

The fourth proportional to 1,258.26, 1,736.28 and 1,165.38 is: 1,608.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.26 : 1,736.28 = 1,165.38 : x
  2. Step 2: Convert to fraction form
    1,258.26/1,736.28 = 1,165.38/x
  3. Step 3: Cross multiply
    1,258.26x = 1,736.28 × 1,165.38
  4. Step 4: Simplify right side
    1,258.26x = 2,023,425.99
  5. Step 5: Solve for x
    x = 2,023,425.99/1,258.26
  6. Step 6: Final answer
    x = 1,608.11

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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.