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Finding the Fourth Proportional to 1,734.57, 2,601.90 and 638.22

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Solution

The fourth proportional to 1,734.57, 2,601.90 and 638.22 is: 957.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.57 : 2,601.90 = 638.22 : x
  2. Step 2: Convert to fraction form
    1,734.57/2,601.90 = 638.22/x
  3. Step 3: Cross multiply
    1,734.57x = 2,601.90 × 638.22
  4. Step 4: Simplify right side
    1,734.57x = 1,660,584.62
  5. Step 5: Solve for x
    x = 1,660,584.62/1,734.57
  6. Step 6: Final answer
    x = 957.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.