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Finding the Fourth Proportional to 694.47, 1,041.87 and 329.07

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Solution

The fourth proportional to 694.47, 1,041.87 and 329.07 is: 493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.47 : 1,041.87 = 329.07 : x
  2. Step 2: Convert to fraction form
    694.47/1,041.87 = 329.07/x
  3. Step 3: Cross multiply
    694.47x = 1,041.87 × 329.07
  4. Step 4: Simplify right side
    694.47x = 342,848.16
  5. Step 5: Solve for x
    x = 342,848.16/694.47
  6. Step 6: Final answer
    x = 493.68

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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.