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Finding the Fourth Proportional to 1,161.99, 1,604.21 and 807.80

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Solution

The fourth proportional to 1,161.99, 1,604.21 and 807.80 is: 1,115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.99 : 1,604.21 = 807.80 : x
  2. Step 2: Convert to fraction form
    1,161.99/1,604.21 = 807.80/x
  3. Step 3: Cross multiply
    1,161.99x = 1,604.21 × 807.80
  4. Step 4: Simplify right side
    1,161.99x = 1,295,880.84
  5. Step 5: Solve for x
    x = 1,295,880.84/1,161.99
  6. Step 6: Final answer
    x = 1,115.23

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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.