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Finding the Fourth Proportional to 1,258.11, 1,736.01 and 734.04

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Solution

The fourth proportional to 1,258.11, 1,736.01 and 734.04 is: 1,012.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.11 : 1,736.01 = 734.04 : x
  2. Step 2: Convert to fraction form
    1,258.11/1,736.01 = 734.04/x
  3. Step 3: Cross multiply
    1,258.11x = 1,736.01 × 734.04
  4. Step 4: Simplify right side
    1,258.11x = 1,274,300.78
  5. Step 5: Solve for x
    x = 1,274,300.78/1,258.11
  6. Step 6: Final answer
    x = 1,012.87

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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.