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Finding the Fourth Proportional to 1,268.66, 1,901.92 and 447.47

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Solution

The fourth proportional to 1,268.66, 1,901.92 and 447.47 is: 670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.66 : 1,901.92 = 447.47 : x
  2. Step 2: Convert to fraction form
    1,268.66/1,901.92 = 447.47/x
  3. Step 3: Cross multiply
    1,268.66x = 1,901.92 × 447.47
  4. Step 4: Simplify right side
    1,268.66x = 851,041.51
  5. Step 5: Solve for x
    x = 851,041.51/1,268.66
  6. Step 6: Final answer
    x = 670.82

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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.