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Finding the Fourth Proportional to 694.59, 1,041.27 and 255.74

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Solution

The fourth proportional to 694.59, 1,041.27 and 255.74 is: 383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.59 : 1,041.27 = 255.74 : x
  2. Step 2: Convert to fraction form
    694.59/1,041.27 = 255.74/x
  3. Step 3: Cross multiply
    694.59x = 1,041.27 × 255.74
  4. Step 4: Simplify right side
    694.59x = 266,296.99
  5. Step 5: Solve for x
    x = 266,296.99/694.59
  6. Step 6: Final answer
    x = 383.39

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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.