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Finding the Fourth Proportional to 1,311.80, 1,809.07 and 863.24

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Solution

The fourth proportional to 1,311.80, 1,809.07 and 863.24 is: 1,190.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.80 : 1,809.07 = 863.24 : x
  2. Step 2: Convert to fraction form
    1,311.80/1,809.07 = 863.24/x
  3. Step 3: Cross multiply
    1,311.80x = 1,809.07 × 863.24
  4. Step 4: Simplify right side
    1,311.80x = 1,561,650.38
  5. Step 5: Solve for x
    x = 1,561,650.38/1,311.80
  6. Step 6: Final answer
    x = 1,190.47

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1.5x scale

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.