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Finding the Fourth Proportional to 1,258.97, 1,736.55 and 761.76

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Solution

The fourth proportional to 1,258.97, 1,736.55 and 761.76 is: 1,050.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.97 : 1,736.55 = 761.76 : x
  2. Step 2: Convert to fraction form
    1,258.97/1,736.55 = 761.76/x
  3. Step 3: Cross multiply
    1,258.97x = 1,736.55 × 761.76
  4. Step 4: Simplify right side
    1,258.97x = 1,322,834.33
  5. Step 5: Solve for x
    x = 1,322,834.33/1,258.97
  6. Step 6: Final answer
    x = 1,050.73

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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.