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Finding the Fourth Proportional to 694.47, 1,041.88 and 329.16

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Solution

The fourth proportional to 694.47, 1,041.88 and 329.16 is: 493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.47 : 1,041.88 = 329.16 : x
  2. Step 2: Convert to fraction form
    694.47/1,041.88 = 329.16/x
  3. Step 3: Cross multiply
    694.47x = 1,041.88 × 329.16
  4. Step 4: Simplify right side
    694.47x = 342,945.22
  5. Step 5: Solve for x
    x = 342,945.22/694.47
  6. Step 6: Final answer
    x = 493.82

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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.