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Finding the Fourth Proportional to 1,738.73, 2,608.13 and 584.48

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Solution

The fourth proportional to 1,738.73, 2,608.13 and 584.48 is: 876.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.73 : 2,608.13 = 584.48 : x
  2. Step 2: Convert to fraction form
    1,738.73/2,608.13 = 584.48/x
  3. Step 3: Cross multiply
    1,738.73x = 2,608.13 × 584.48
  4. Step 4: Simplify right side
    1,738.73x = 1,524,407.80
  5. Step 5: Solve for x
    x = 1,524,407.80/1,738.73
  6. Step 6: Final answer
    x = 876.74

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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.