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Finding the Fourth Proportional to 1,194.43, 1,648.28 and 697.03

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Solution

The fourth proportional to 1,194.43, 1,648.28 and 697.03 is: 961.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.43 : 1,648.28 = 697.03 : x
  2. Step 2: Convert to fraction form
    1,194.43/1,648.28 = 697.03/x
  3. Step 3: Cross multiply
    1,194.43x = 1,648.28 × 697.03
  4. Step 4: Simplify right side
    1,194.43x = 1,148,900.61
  5. Step 5: Solve for x
    x = 1,148,900.61/1,194.43
  6. Step 6: Final answer
    x = 961.88

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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.