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Finding the Fourth Proportional to 1,406.26, 2,108.67 and 528.73

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Solution

The fourth proportional to 1,406.26, 2,108.67 and 528.73 is: 792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.26 : 2,108.67 = 528.73 : x
  2. Step 2: Convert to fraction form
    1,406.26/2,108.67 = 528.73/x
  3. Step 3: Cross multiply
    1,406.26x = 2,108.67 × 528.73
  4. Step 4: Simplify right side
    1,406.26x = 1,114,917.09
  5. Step 5: Solve for x
    x = 1,114,917.09/1,406.26
  6. Step 6: Final answer
    x = 792.82

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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.