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Finding the Fourth Proportional to 1,197.04, 1,796.94 and 711.13

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Solution

The fourth proportional to 1,197.04, 1,796.94 and 711.13 is: 1,067.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.04 : 1,796.94 = 711.13 : x
  2. Step 2: Convert to fraction form
    1,197.04/1,796.94 = 711.13/x
  3. Step 3: Cross multiply
    1,197.04x = 1,796.94 × 711.13
  4. Step 4: Simplify right side
    1,197.04x = 1,277,851.67
  5. Step 5: Solve for x
    x = 1,277,851.67/1,197.04
  6. Step 6: Final answer
    x = 1,067.51

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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.