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Finding the Fourth Proportional to 1,729.49, 2,594.01 and 633.03

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Solution

The fourth proportional to 1,729.49, 2,594.01 and 633.03 is: 949.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.49 : 2,594.01 = 633.03 : x
  2. Step 2: Convert to fraction form
    1,729.49/2,594.01 = 633.03/x
  3. Step 3: Cross multiply
    1,729.49x = 2,594.01 × 633.03
  4. Step 4: Simplify right side
    1,729.49x = 1,642,086.15
  5. Step 5: Solve for x
    x = 1,642,086.15/1,729.49
  6. Step 6: Final answer
    x = 949.46

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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.