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Finding the Fourth Proportional to 1,049.69, 1,447.50 and 900.82

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Solution

The fourth proportional to 1,049.69, 1,447.50 and 900.82 is: 1,242.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.69 : 1,447.50 = 900.82 : x
  2. Step 2: Convert to fraction form
    1,049.69/1,447.50 = 900.82/x
  3. Step 3: Cross multiply
    1,049.69x = 1,447.50 × 900.82
  4. Step 4: Simplify right side
    1,049.69x = 1,303,942.14
  5. Step 5: Solve for x
    x = 1,303,942.14/1,049.69
  6. Step 6: Final answer
    x = 1,242.21

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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.