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Finding the Fourth Proportional to 1,197.57, 1,796.36 and 320.11

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Solution

The fourth proportional to 1,197.57, 1,796.36 and 320.11 is: 480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.57 : 1,796.36 = 320.11 : x
  2. Step 2: Convert to fraction form
    1,197.57/1,796.36 = 320.11/x
  3. Step 3: Cross multiply
    1,197.57x = 1,796.36 × 320.11
  4. Step 4: Simplify right side
    1,197.57x = 575,032.80
  5. Step 5: Solve for x
    x = 575,032.80/1,197.57
  6. Step 6: Final answer
    x = 480.17

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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.