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Finding the Fourth Proportional to 949.07, 1,427.76 and 813.73

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Solution

The fourth proportional to 949.07, 1,427.76 and 813.73 is: 1,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.07 : 1,427.76 = 813.73 : x
  2. Step 2: Convert to fraction form
    949.07/1,427.76 = 813.73/x
  3. Step 3: Cross multiply
    949.07x = 1,427.76 × 813.73
  4. Step 4: Simplify right side
    949.07x = 1,161,811.14
  5. Step 5: Solve for x
    x = 1,161,811.14/949.07
  6. Step 6: Final answer
    x = 1,224.16

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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.