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Finding the Fourth Proportional to 1,729.56, 2,592.72 and 574.50

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Solution

The fourth proportional to 1,729.56, 2,592.72 and 574.50 is: 861.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.56 : 2,592.72 = 574.50 : x
  2. Step 2: Convert to fraction form
    1,729.56/2,592.72 = 574.50/x
  3. Step 3: Cross multiply
    1,729.56x = 2,592.72 × 574.50
  4. Step 4: Simplify right side
    1,729.56x = 1,489,517.64
  5. Step 5: Solve for x
    x = 1,489,517.64/1,729.56
  6. Step 6: Final answer
    x = 861.21

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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.