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Finding the Fourth Proportional to 694.25, 1,041.38 and 405.48

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Solution

The fourth proportional to 694.25, 1,041.38 and 405.48 is: 608.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.25 : 1,041.38 = 405.48 : x
  2. Step 2: Convert to fraction form
    694.25/1,041.38 = 405.48/x
  3. Step 3: Cross multiply
    694.25x = 1,041.38 × 405.48
  4. Step 4: Simplify right side
    694.25x = 422,258.76
  5. Step 5: Solve for x
    x = 422,258.76/694.25
  6. Step 6: Final answer
    x = 608.22

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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.