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Finding the Fourth Proportional to 1,257.59, 1,735.34 and 698.04

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Solution

The fourth proportional to 1,257.59, 1,735.34 and 698.04 is: 963.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.59 : 1,735.34 = 698.04 : x
  2. Step 2: Convert to fraction form
    1,257.59/1,735.34 = 698.04/x
  3. Step 3: Cross multiply
    1,257.59x = 1,735.34 × 698.04
  4. Step 4: Simplify right side
    1,257.59x = 1,211,333.24
  5. Step 5: Solve for x
    x = 1,211,333.24/1,257.59
  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.