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Finding the Fourth Proportional to 1,258.75, 1,737.12 and 734.68

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Solution

The fourth proportional to 1,258.75, 1,737.12 and 734.68 is: 1,013.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.75 : 1,737.12 = 734.68 : x
  2. Step 2: Convert to fraction form
    1,258.75/1,737.12 = 734.68/x
  3. Step 3: Cross multiply
    1,258.75x = 1,737.12 × 734.68
  4. Step 4: Simplify right side
    1,258.75x = 1,276,227.32
  5. Step 5: Solve for x
    x = 1,276,227.32/1,258.75
  6. Step 6: Final answer
    x = 1,013.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.