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Finding the Fourth Proportional to 1,201.75, 1,658.62 and 697.62

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Solution

The fourth proportional to 1,201.75, 1,658.62 and 697.62 is: 962.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.75 : 1,658.62 = 697.62 : x
  2. Step 2: Convert to fraction form
    1,201.75/1,658.62 = 697.62/x
  3. Step 3: Cross multiply
    1,201.75x = 1,658.62 × 697.62
  4. Step 4: Simplify right side
    1,201.75x = 1,157,086.48
  5. Step 5: Solve for x
    x = 1,157,086.48/1,201.75
  6. Step 6: Final answer
    x = 962.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.