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Finding the Fourth Proportional to 1,258.18, 1,736.61 and 734.29

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Solution

The fourth proportional to 1,258.18, 1,736.61 and 734.29 is: 1,013.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.18 : 1,736.61 = 734.29 : x
  2. Step 2: Convert to fraction form
    1,258.18/1,736.61 = 734.29/x
  3. Step 3: Cross multiply
    1,258.18x = 1,736.61 × 734.29
  4. Step 4: Simplify right side
    1,258.18x = 1,275,175.36
  5. Step 5: Solve for x
    x = 1,275,175.36/1,258.18
  6. Step 6: Final answer
    x = 1,013.51

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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.