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Finding the Fourth Proportional to 1,197.36, 1,796.40 and 612.72

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Solution

The fourth proportional to 1,197.36, 1,796.40 and 612.72 is: 919.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.36 : 1,796.40 = 612.72 : x
  2. Step 2: Convert to fraction form
    1,197.36/1,796.40 = 612.72/x
  3. Step 3: Cross multiply
    1,197.36x = 1,796.40 × 612.72
  4. Step 4: Simplify right side
    1,197.36x = 1,100,690.21
  5. Step 5: Solve for x
    x = 1,100,690.21/1,197.36
  6. Step 6: Final answer
    x = 919.26

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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.