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Finding the Fourth Proportional to 906.99, 1,251.87 and 514.25

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Solution

The fourth proportional to 906.99, 1,251.87 and 514.25 is: 709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.99 : 1,251.87 = 514.25 : x
  2. Step 2: Convert to fraction form
    906.99/1,251.87 = 514.25/x
  3. Step 3: Cross multiply
    906.99x = 1,251.87 × 514.25
  4. Step 4: Simplify right side
    906.99x = 643,767.89
  5. Step 5: Solve for x
    x = 643,767.89/906.99
  6. Step 6: Final answer
    x = 709.78

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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.