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Finding the Fourth Proportional to 1,258.74, 1,889.73 and 849.69

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Solution

The fourth proportional to 1,258.74, 1,889.73 and 849.69 is: 1,275.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.74 : 1,889.73 = 849.69 : x
  2. Step 2: Convert to fraction form
    1,258.74/1,889.73 = 849.69/x
  3. Step 3: Cross multiply
    1,258.74x = 1,889.73 × 849.69
  4. Step 4: Simplify right side
    1,258.74x = 1,605,684.68
  5. Step 5: Solve for x
    x = 1,605,684.68/1,258.74
  6. Step 6: Final answer
    x = 1,275.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.