Home / 1,167.37-1,611.39-919.80

Finding the Fourth Proportional to 1,167.37, 1,611.39 and 919.80

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Solution

The fourth proportional to 1,167.37, 1,611.39 and 919.80 is: 1,269.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.37 : 1,611.39 = 919.80 : x
  2. Step 2: Convert to fraction form
    1,167.37/1,611.39 = 919.80/x
  3. Step 3: Cross multiply
    1,167.37x = 1,611.39 × 919.80
  4. Step 4: Simplify right side
    1,167.37x = 1,482,156.52
  5. Step 5: Solve for x
    x = 1,482,156.52/1,167.37
  6. Step 6: Final answer
    x = 1,269.65

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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.