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Finding the Fourth Proportional to 1,258.95, 1,884.88 and 949.82

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Solution

The fourth proportional to 1,258.95, 1,884.88 and 949.82 is: 1,422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.95 : 1,884.88 = 949.82 : x
  2. Step 2: Convert to fraction form
    1,258.95/1,884.88 = 949.82/x
  3. Step 3: Cross multiply
    1,258.95x = 1,884.88 × 949.82
  4. Step 4: Simplify right side
    1,258.95x = 1,790,291.97
  5. Step 5: Solve for x
    x = 1,790,291.97/1,258.95
  6. Step 6: Final answer
    x = 1,422.05

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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.