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Finding the Fourth Proportional to 1,258.30, 1,736.42 and 698.75

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Solution

The fourth proportional to 1,258.30, 1,736.42 and 698.75 is: 964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.30 : 1,736.42 = 698.75 : x
  2. Step 2: Convert to fraction form
    1,258.30/1,736.42 = 698.75/x
  3. Step 3: Cross multiply
    1,258.30x = 1,736.42 × 698.75
  4. Step 4: Simplify right side
    1,258.30x = 1,213,323.48
  5. Step 5: Solve for x
    x = 1,213,323.48/1,258.30
  6. Step 6: Final answer
    x = 964.26

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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.