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Finding the Fourth Proportional to 1,257.68, 1,735.61 and 690.51

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Solution

The fourth proportional to 1,257.68, 1,735.61 and 690.51 is: 952.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.68 : 1,735.61 = 690.51 : x
  2. Step 2: Convert to fraction form
    1,257.68/1,735.61 = 690.51/x
  3. Step 3: Cross multiply
    1,257.68x = 1,735.61 × 690.51
  4. Step 4: Simplify right side
    1,257.68x = 1,198,456.06
  5. Step 5: Solve for x
    x = 1,198,456.06/1,257.68
  6. Step 6: Final answer
    x = 952.91

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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.