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Finding the Fourth Proportional to 694.03, 1,041.35 and 261.09

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Solution

The fourth proportional to 694.03, 1,041.35 and 261.09 is: 391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.03 : 1,041.35 = 261.09 : x
  2. Step 2: Convert to fraction form
    694.03/1,041.35 = 261.09/x
  3. Step 3: Cross multiply
    694.03x = 1,041.35 × 261.09
  4. Step 4: Simplify right side
    694.03x = 271,886.07
  5. Step 5: Solve for x
    x = 271,886.07/694.03
  6. Step 6: Final answer
    x = 391.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.