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Finding the Fourth Proportional to 701.40, 1,044.90 and 669.81

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Solution

The fourth proportional to 701.40, 1,044.90 and 669.81 is: 997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.40 : 1,044.90 = 669.81 : x
  2. Step 2: Convert to fraction form
    701.40/1,044.90 = 669.81/x
  3. Step 3: Cross multiply
    701.40x = 1,044.90 × 669.81
  4. Step 4: Simplify right side
    701.40x = 699,884.47
  5. Step 5: Solve for x
    x = 699,884.47/701.40
  6. Step 6: Final answer
    x = 997.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.