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Finding the Fourth Proportional to 1,469.35, 2,203.62 and 728.65

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Solution

The fourth proportional to 1,469.35, 2,203.62 and 728.65 is: 1,092.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.35 : 2,203.62 = 728.65 : x
  2. Step 2: Convert to fraction form
    1,469.35/2,203.62 = 728.65/x
  3. Step 3: Cross multiply
    1,469.35x = 2,203.62 × 728.65
  4. Step 4: Simplify right side
    1,469.35x = 1,605,667.71
  5. Step 5: Solve for x
    x = 1,605,667.71/1,469.35
  6. Step 6: Final answer
    x = 1,092.77

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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.