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Finding the Fourth Proportional to 690.25, 950.49 and 674.92

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Solution

The fourth proportional to 690.25, 950.49 and 674.92 is: 929.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.25 : 950.49 = 674.92 : x
  2. Step 2: Convert to fraction form
    690.25/950.49 = 674.92/x
  3. Step 3: Cross multiply
    690.25x = 950.49 × 674.92
  4. Step 4: Simplify right side
    690.25x = 641,504.71
  5. Step 5: Solve for x
    x = 641,504.71/690.25
  6. Step 6: Final answer
    x = 929.38

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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.