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Finding the Fourth Proportional to 901.04, 1,249.16 and 854.20

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Solution

The fourth proportional to 901.04, 1,249.16 and 854.20 is: 1,184.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.04 : 1,249.16 = 854.20 : x
  2. Step 2: Convert to fraction form
    901.04/1,249.16 = 854.20/x
  3. Step 3: Cross multiply
    901.04x = 1,249.16 × 854.20
  4. Step 4: Simplify right side
    901.04x = 1,067,032.47
  5. Step 5: Solve for x
    x = 1,067,032.47/901.04
  6. Step 6: Final answer
    x = 1,184.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.