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Finding the Fourth Proportional to 1,197.39, 1,796.09 and 710.85

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Solution

The fourth proportional to 1,197.39, 1,796.09 and 710.85 is: 1,066.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.39 : 1,796.09 = 710.85 : x
  2. Step 2: Convert to fraction form
    1,197.39/1,796.09 = 710.85/x
  3. Step 3: Cross multiply
    1,197.39x = 1,796.09 × 710.85
  4. Step 4: Simplify right side
    1,197.39x = 1,276,747.02
  5. Step 5: Solve for x
    x = 1,276,747.02/1,197.39
  6. Step 6: Final answer
    x = 1,066.28

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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.