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Finding the Fourth Proportional to 1,257.70, 1,735.61 and 698.27

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Solution

The fourth proportional to 1,257.70, 1,735.61 and 698.27 is: 963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.70 : 1,735.61 = 698.27 : x
  2. Step 2: Convert to fraction form
    1,257.70/1,735.61 = 698.27/x
  3. Step 3: Cross multiply
    1,257.70x = 1,735.61 × 698.27
  4. Step 4: Simplify right side
    1,257.70x = 1,211,928.86
  5. Step 5: Solve for x
    x = 1,211,928.86/1,257.70
  6. Step 6: Final answer
    x = 963.61

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1.5x scale

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.