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Finding the Fourth Proportional to 1,258.06, 1,736.07 and 760.66

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Solution

The fourth proportional to 1,258.06, 1,736.07 and 760.66 is: 1,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.06 : 1,736.07 = 760.66 : x
  2. Step 2: Convert to fraction form
    1,258.06/1,736.07 = 760.66/x
  3. Step 3: Cross multiply
    1,258.06x = 1,736.07 × 760.66
  4. Step 4: Simplify right side
    1,258.06x = 1,320,550.33
  5. Step 5: Solve for x
    x = 1,320,550.33/1,258.06
  6. Step 6: Final answer
    x = 1,049.68

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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.