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Finding the Fourth Proportional to 1,257.89, 1,736.17 and 698.56

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Solution

The fourth proportional to 1,257.89, 1,736.17 and 698.56 is: 964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.89 : 1,736.17 = 698.56 : x
  2. Step 2: Convert to fraction form
    1,257.89/1,736.17 = 698.56/x
  3. Step 3: Cross multiply
    1,257.89x = 1,736.17 × 698.56
  4. Step 4: Simplify right side
    1,257.89x = 1,212,810.23
  5. Step 5: Solve for x
    x = 1,212,810.23/1,257.89
  6. Step 6: Final answer
    x = 964.16

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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.