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Finding the Fourth Proportional to 1,486.07, 2,227.72 and 511.94

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Solution

The fourth proportional to 1,486.07, 2,227.72 and 511.94 is: 767.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.07 : 2,227.72 = 511.94 : x
  2. Step 2: Convert to fraction form
    1,486.07/2,227.72 = 511.94/x
  3. Step 3: Cross multiply
    1,486.07x = 2,227.72 × 511.94
  4. Step 4: Simplify right side
    1,486.07x = 1,140,458.98
  5. Step 5: Solve for x
    x = 1,140,458.98/1,486.07
  6. Step 6: Final answer
    x = 767.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.