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Finding the Fourth Proportional to 1,258.54, 1,736.90 and 734.74

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Solution

The fourth proportional to 1,258.54, 1,736.90 and 734.74 is: 1,014.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.54 : 1,736.90 = 734.74 : x
  2. Step 2: Convert to fraction form
    1,258.54/1,736.90 = 734.74/x
  3. Step 3: Cross multiply
    1,258.54x = 1,736.90 × 734.74
  4. Step 4: Simplify right side
    1,258.54x = 1,276,166.23
  5. Step 5: Solve for x
    x = 1,276,166.23/1,258.54
  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.