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Finding the Fourth Proportional to 1,258.56, 1,737.09 and 734.67

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Solution

The fourth proportional to 1,258.56, 1,737.09 and 734.67 is: 1,014.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.56 : 1,737.09 = 734.67 : x
  2. Step 2: Convert to fraction form
    1,258.56/1,737.09 = 734.67/x
  3. Step 3: Cross multiply
    1,258.56x = 1,737.09 × 734.67
  4. Step 4: Simplify right side
    1,258.56x = 1,276,187.91
  5. Step 5: Solve for x
    x = 1,276,187.91/1,258.56
  6. Step 6: Final answer
    x = 1,014.01

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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.