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Finding the Fourth Proportional to 1,468.36, 2,204.09 and 774.86

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Solution

The fourth proportional to 1,468.36, 2,204.09 and 774.86 is: 1,163.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.36 : 2,204.09 = 774.86 : x
  2. Step 2: Convert to fraction form
    1,468.36/2,204.09 = 774.86/x
  3. Step 3: Cross multiply
    1,468.36x = 2,204.09 × 774.86
  4. Step 4: Simplify right side
    1,468.36x = 1,707,849.19
  5. Step 5: Solve for x
    x = 1,707,849.19/1,468.36
  6. Step 6: Final answer
    x = 1,163.10

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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.