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Finding the Fourth Proportional to 1,067.95, 1,473.78 and 602.20

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Solution

The fourth proportional to 1,067.95, 1,473.78 and 602.20 is: 831.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.95 : 1,473.78 = 602.20 : x
  2. Step 2: Convert to fraction form
    1,067.95/1,473.78 = 602.20/x
  3. Step 3: Cross multiply
    1,067.95x = 1,473.78 × 602.20
  4. Step 4: Simplify right side
    1,067.95x = 887,499.94
  5. Step 5: Solve for x
    x = 887,499.94/1,067.95
  6. Step 6: Final answer
    x = 831.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.