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Finding the Fourth Proportional to 906.27, 1,250.14 and 591.08

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Solution

The fourth proportional to 906.27, 1,250.14 and 591.08 is: 815.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.27 : 1,250.14 = 591.08 : x
  2. Step 2: Convert to fraction form
    906.27/1,250.14 = 591.08/x
  3. Step 3: Cross multiply
    906.27x = 1,250.14 × 591.08
  4. Step 4: Simplify right side
    906.27x = 738,932.75
  5. Step 5: Solve for x
    x = 738,932.75/906.27
  6. Step 6: Final answer
    x = 815.36

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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.