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Finding the Fourth Proportional to 1,403.63, 2,105.78 and 429.73

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Solution

The fourth proportional to 1,403.63, 2,105.78 and 429.73 is: 644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.63 : 2,105.78 = 429.73 : x
  2. Step 2: Convert to fraction form
    1,403.63/2,105.78 = 429.73/x
  3. Step 3: Cross multiply
    1,403.63x = 2,105.78 × 429.73
  4. Step 4: Simplify right side
    1,403.63x = 904,912.65
  5. Step 5: Solve for x
    x = 904,912.65/1,403.63
  6. Step 6: Final answer
    x = 644.69

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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.