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Finding the Fourth Proportional to 1,729.24, 2,593.88 and 633.64

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Solution

The fourth proportional to 1,729.24, 2,593.88 and 633.64 is: 950.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.24 : 2,593.88 = 633.64 : x
  2. Step 2: Convert to fraction form
    1,729.24/2,593.88 = 633.64/x
  3. Step 3: Cross multiply
    1,729.24x = 2,593.88 × 633.64
  4. Step 4: Simplify right side
    1,729.24x = 1,643,586.12
  5. Step 5: Solve for x
    x = 1,643,586.12/1,729.24
  6. Step 6: Final answer
    x = 950.47

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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.