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Finding the Fourth Proportional to 1,258.07, 1,736.12 and 698.52

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Solution

The fourth proportional to 1,258.07, 1,736.12 and 698.52 is: 963.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.07 : 1,736.12 = 698.52 : x
  2. Step 2: Convert to fraction form
    1,258.07/1,736.12 = 698.52/x
  3. Step 3: Cross multiply
    1,258.07x = 1,736.12 × 698.52
  4. Step 4: Simplify right side
    1,258.07x = 1,212,713.03
  5. Step 5: Solve for x
    x = 1,212,713.03/1,258.07
  6. Step 6: Final answer
    x = 963.95

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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.