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Finding the Fourth Proportional to 1,197.29, 1,796.14 and 612.68

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Solution

The fourth proportional to 1,197.29, 1,796.14 and 612.68 is: 919.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.29 : 1,796.14 = 612.68 : x
  2. Step 2: Convert to fraction form
    1,197.29/1,796.14 = 612.68/x
  3. Step 3: Cross multiply
    1,197.29x = 1,796.14 × 612.68
  4. Step 4: Simplify right side
    1,197.29x = 1,100,450.07
  5. Step 5: Solve for x
    x = 1,100,450.07/1,197.29
  6. Step 6: Final answer
    x = 919.12

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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.