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Finding the Fourth Proportional to 694.87, 958.62 and 400.07

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Solution

The fourth proportional to 694.87, 958.62 and 400.07 is: 551.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.87 : 958.62 = 400.07 : x
  2. Step 2: Convert to fraction form
    694.87/958.62 = 400.07/x
  3. Step 3: Cross multiply
    694.87x = 958.62 × 400.07
  4. Step 4: Simplify right side
    694.87x = 383,515.10
  5. Step 5: Solve for x
    x = 383,515.10/694.87
  6. Step 6: Final answer
    x = 551.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.