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Finding the Fourth Proportional to 1,469.16, 2,203.74 and 429.21

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Solution

The fourth proportional to 1,469.16, 2,203.74 and 429.21 is: 643.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.16 : 2,203.74 = 429.21 : x
  2. Step 2: Convert to fraction form
    1,469.16/2,203.74 = 429.21/x
  3. Step 3: Cross multiply
    1,469.16x = 2,203.74 × 429.21
  4. Step 4: Simplify right side
    1,469.16x = 945,867.25
  5. Step 5: Solve for x
    x = 945,867.25/1,469.16
  6. Step 6: Final answer
    x = 643.82

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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.