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Finding the Fourth Proportional to 1,728.79, 2,593.70 and 558.98

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Solution

The fourth proportional to 1,728.79, 2,593.70 and 558.98 is: 838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.79 : 2,593.70 = 558.98 : x
  2. Step 2: Convert to fraction form
    1,728.79/2,593.70 = 558.98/x
  3. Step 3: Cross multiply
    1,728.79x = 2,593.70 × 558.98
  4. Step 4: Simplify right side
    1,728.79x = 1,449,826.43
  5. Step 5: Solve for x
    x = 1,449,826.43/1,728.79
  6. Step 6: Final answer
    x = 838.64

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