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Finding the Fourth Proportional to 694.80, 1,042.32 and 284.16

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Solution

The fourth proportional to 694.80, 1,042.32 and 284.16 is: 426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.80 : 1,042.32 = 284.16 : x
  2. Step 2: Convert to fraction form
    694.80/1,042.32 = 284.16/x
  3. Step 3: Cross multiply
    694.80x = 1,042.32 × 284.16
  4. Step 4: Simplify right side
    694.80x = 296,185.65
  5. Step 5: Solve for x
    x = 296,185.65/694.80
  6. Step 6: Final answer
    x = 426.29

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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.