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Finding the Fourth Proportional to 694.13, 1,041.20 and 261.29

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Solution

The fourth proportional to 694.13, 1,041.20 and 261.29 is: 391.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.13 : 1,041.20 = 261.29 : x
  2. Step 2: Convert to fraction form
    694.13/1,041.20 = 261.29/x
  3. Step 3: Cross multiply
    694.13x = 1,041.20 × 261.29
  4. Step 4: Simplify right side
    694.13x = 272,055.15
  5. Step 5: Solve for x
    x = 272,055.15/694.13
  6. Step 6: Final answer
    x = 391.94

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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.