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Finding the Fourth Proportional to 1,469.13, 2,203.90 and 429.21

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Solution

The fourth proportional to 1,469.13, 2,203.90 and 429.21 is: 643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.13 : 2,203.90 = 429.21 : x
  2. Step 2: Convert to fraction form
    1,469.13/2,203.90 = 429.21/x
  3. Step 3: Cross multiply
    1,469.13x = 2,203.90 × 429.21
  4. Step 4: Simplify right side
    1,469.13x = 945,927.67
  5. Step 5: Solve for x
    x = 945,927.67/1,469.13
  6. Step 6: Final answer
    x = 643.87

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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.