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Finding the Fourth Proportional to 1,208.12, 1,809.74 and 796.24

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Solution

The fourth proportional to 1,208.12, 1,809.74 and 796.24 is: 1,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.12 : 1,809.74 = 796.24 : x
  2. Step 2: Convert to fraction form
    1,208.12/1,809.74 = 796.24/x
  3. Step 3: Cross multiply
    1,208.12x = 1,809.74 × 796.24
  4. Step 4: Simplify right side
    1,208.12x = 1,440,987.38
  5. Step 5: Solve for x
    x = 1,440,987.38/1,208.12
  6. Step 6: Final answer
    x = 1,192.75

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1.5x scale

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.