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Finding the Fourth Proportional to 1,257.57, 1,735.38 and 698.01

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Solution

The fourth proportional to 1,257.57, 1,735.38 and 698.01 is: 963.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.57 : 1,735.38 = 698.01 : x
  2. Step 2: Convert to fraction form
    1,257.57/1,735.38 = 698.01/x
  3. Step 3: Cross multiply
    1,257.57x = 1,735.38 × 698.01
  4. Step 4: Simplify right side
    1,257.57x = 1,211,312.59
  5. Step 5: Solve for x
    x = 1,211,312.59/1,257.57
  6. Step 6: Final answer
    x = 963.22

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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.