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Finding the Fourth Proportional to 695.26, 1,033.49 and 674.53

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Solution

The fourth proportional to 695.26, 1,033.49 and 674.53 is: 1,002.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.26 : 1,033.49 = 674.53 : x
  2. Step 2: Convert to fraction form
    695.26/1,033.49 = 674.53/x
  3. Step 3: Cross multiply
    695.26x = 1,033.49 × 674.53
  4. Step 4: Simplify right side
    695.26x = 697,119.11
  5. Step 5: Solve for x
    x = 697,119.11/695.26
  6. Step 6: Final answer
    x = 1,002.68

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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.