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Finding the Fourth Proportional to 1,067.92, 1,602.28 and 482.90

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Solution

The fourth proportional to 1,067.92, 1,602.28 and 482.90 is: 724.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.92 : 1,602.28 = 482.90 : x
  2. Step 2: Convert to fraction form
    1,067.92/1,602.28 = 482.90/x
  3. Step 3: Cross multiply
    1,067.92x = 1,602.28 × 482.90
  4. Step 4: Simplify right side
    1,067.92x = 773,741.01
  5. Step 5: Solve for x
    x = 773,741.01/1,067.92
  6. Step 6: Final answer
    x = 724.53

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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.