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Finding the Fourth Proportional to 1,209.44, 1,812.12 and 776.36

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Solution

The fourth proportional to 1,209.44, 1,812.12 and 776.36 is: 1,163.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.44 : 1,812.12 = 776.36 : x
  2. Step 2: Convert to fraction form
    1,209.44/1,812.12 = 776.36/x
  3. Step 3: Cross multiply
    1,209.44x = 1,812.12 × 776.36
  4. Step 4: Simplify right side
    1,209.44x = 1,406,857.48
  5. Step 5: Solve for x
    x = 1,406,857.48/1,209.44
  6. Step 6: Final answer
    x = 1,163.23

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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.