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Finding the Fourth Proportional to 1,258.42, 1,736.62 and 698.98

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Solution

The fourth proportional to 1,258.42, 1,736.62 and 698.98 is: 964.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.42 : 1,736.62 = 698.98 : x
  2. Step 2: Convert to fraction form
    1,258.42/1,736.62 = 698.98/x
  3. Step 3: Cross multiply
    1,258.42x = 1,736.62 × 698.98
  4. Step 4: Simplify right side
    1,258.42x = 1,213,862.65
  5. Step 5: Solve for x
    x = 1,213,862.65/1,258.42
  6. Step 6: Final answer
    x = 964.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.