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Finding the Fourth Proportional to 1,105.09, 1,525.11 and 657.10

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Solution

The fourth proportional to 1,105.09, 1,525.11 and 657.10 is: 906.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.09 : 1,525.11 = 657.10 : x
  2. Step 2: Convert to fraction form
    1,105.09/1,525.11 = 657.10/x
  3. Step 3: Cross multiply
    1,105.09x = 1,525.11 × 657.10
  4. Step 4: Simplify right side
    1,105.09x = 1,002,149.78
  5. Step 5: Solve for x
    x = 1,002,149.78/1,105.09
  6. Step 6: Final answer
    x = 906.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.