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Finding the Fourth Proportional to 694.76, 958.76 and 400.12

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Solution

The fourth proportional to 694.76, 958.76 and 400.12 is: 552.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.76 : 958.76 = 400.12 : x
  2. Step 2: Convert to fraction form
    694.76/958.76 = 400.12/x
  3. Step 3: Cross multiply
    694.76x = 958.76 × 400.12
  4. Step 4: Simplify right side
    694.76x = 383,623.80
  5. Step 5: Solve for x
    x = 383,623.80/694.76
  6. Step 6: Final answer
    x = 552.17

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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.