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Finding the Fourth Proportional to 694.65, 1,042.25 and 309.63

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Solution

The fourth proportional to 694.65, 1,042.25 and 309.63 is: 464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.65 : 1,042.25 = 309.63 : x
  2. Step 2: Convert to fraction form
    694.65/1,042.25 = 309.63/x
  3. Step 3: Cross multiply
    694.65x = 1,042.25 × 309.63
  4. Step 4: Simplify right side
    694.65x = 322,711.87
  5. Step 5: Solve for x
    x = 322,711.87/694.65
  6. Step 6: Final answer
    x = 464.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.