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Finding the Fourth Proportional to 944.24, 1,415.06 and 804.69

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Solution

The fourth proportional to 944.24, 1,415.06 and 804.69 is: 1,205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.24 : 1,415.06 = 804.69 : x
  2. Step 2: Convert to fraction form
    944.24/1,415.06 = 804.69/x
  3. Step 3: Cross multiply
    944.24x = 1,415.06 × 804.69
  4. Step 4: Simplify right side
    944.24x = 1,138,680.61
  5. Step 5: Solve for x
    x = 1,138,680.61/944.24
  6. Step 6: Final answer
    x = 1,205.93

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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.