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Finding the Fourth Proportional to 1,268.81, 1,903.56 and 447.66

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Solution

The fourth proportional to 1,268.81, 1,903.56 and 447.66 is: 671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.81 : 1,903.56 = 447.66 : x
  2. Step 2: Convert to fraction form
    1,268.81/1,903.56 = 447.66/x
  3. Step 3: Cross multiply
    1,268.81x = 1,903.56 × 447.66
  4. Step 4: Simplify right side
    1,268.81x = 852,157.17
  5. Step 5: Solve for x
    x = 852,157.17/1,268.81
  6. Step 6: Final answer
    x = 671.62

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Why These Related Problems?

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