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Finding the Fourth Proportional to 694.24, 1,042.06 and 347.82

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Solution

The fourth proportional to 694.24, 1,042.06 and 347.82 is: 522.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.24 : 1,042.06 = 347.82 : x
  2. Step 2: Convert to fraction form
    694.24/1,042.06 = 347.82/x
  3. Step 3: Cross multiply
    694.24x = 1,042.06 × 347.82
  4. Step 4: Simplify right side
    694.24x = 362,449.31
  5. Step 5: Solve for x
    x = 362,449.31/694.24
  6. Step 6: Final answer
    x = 522.08

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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.