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Finding the Fourth Proportional to 1,738.78, 2,609.52 and 644.20

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Solution

The fourth proportional to 1,738.78, 2,609.52 and 644.20 is: 966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.78 : 2,609.52 = 644.20 : x
  2. Step 2: Convert to fraction form
    1,738.78/2,609.52 = 644.20/x
  3. Step 3: Cross multiply
    1,738.78x = 2,609.52 × 644.20
  4. Step 4: Simplify right side
    1,738.78x = 1,681,052.78
  5. Step 5: Solve for x
    x = 1,681,052.78/1,738.78
  6. Step 6: Final answer
    x = 966.80

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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.