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Finding the Fourth Proportional to 1,728.41, 2,593.69 and 688.23

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Solution

The fourth proportional to 1,728.41, 2,593.69 and 688.23 is: 1,032.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.41 : 2,593.69 = 688.23 : x
  2. Step 2: Convert to fraction form
    1,728.41/2,593.69 = 688.23/x
  3. Step 3: Cross multiply
    1,728.41x = 2,593.69 × 688.23
  4. Step 4: Simplify right side
    1,728.41x = 1,785,053.55
  5. Step 5: Solve for x
    x = 1,785,053.55/1,728.41
  6. Step 6: Final answer
    x = 1,032.78

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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.