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Finding the Fourth Proportional to 1,199.46, 1,797.94 and 650.48

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Solution

The fourth proportional to 1,199.46, 1,797.94 and 650.48 is: 975.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.46 : 1,797.94 = 650.48 : x
  2. Step 2: Convert to fraction form
    1,199.46/1,797.94 = 650.48/x
  3. Step 3: Cross multiply
    1,199.46x = 1,797.94 × 650.48
  4. Step 4: Simplify right side
    1,199.46x = 1,169,524.01
  5. Step 5: Solve for x
    x = 1,169,524.01/1,199.46
  6. Step 6: Final answer
    x = 975.04

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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.