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Finding the Fourth Proportional to 902.80, 1,247.16 and 672.76

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Solution

The fourth proportional to 902.80, 1,247.16 and 672.76 is: 929.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.80 : 1,247.16 = 672.76 : x
  2. Step 2: Convert to fraction form
    902.80/1,247.16 = 672.76/x
  3. Step 3: Cross multiply
    902.80x = 1,247.16 × 672.76
  4. Step 4: Simplify right side
    902.80x = 839,039.36
  5. Step 5: Solve for x
    x = 839,039.36/902.80
  6. Step 6: Final answer
    x = 929.37

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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.