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Finding the Fourth Proportional to 1,193.01, 1,789.25 and 423.51

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Solution

The fourth proportional to 1,193.01, 1,789.25 and 423.51 is: 635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.01 : 1,789.25 = 423.51 : x
  2. Step 2: Convert to fraction form
    1,193.01/1,789.25 = 423.51/x
  3. Step 3: Cross multiply
    1,193.01x = 1,789.25 × 423.51
  4. Step 4: Simplify right side
    1,193.01x = 757,763.15
  5. Step 5: Solve for x
    x = 757,763.15/1,193.01
  6. Step 6: Final answer
    x = 635.17

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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.