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Finding the Fourth Proportional to 906.04, 1,250.22 and 512.92

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Solution

The fourth proportional to 906.04, 1,250.22 and 512.92 is: 707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.04 : 1,250.22 = 512.92 : x
  2. Step 2: Convert to fraction form
    906.04/1,250.22 = 512.92/x
  3. Step 3: Cross multiply
    906.04x = 1,250.22 × 512.92
  4. Step 4: Simplify right side
    906.04x = 641,262.84
  5. Step 5: Solve for x
    x = 641,262.84/906.04
  6. Step 6: Final answer
    x = 707.76

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