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Finding the Fourth Proportional to 694.96, 1,047.08 and 629.16

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Solution

The fourth proportional to 694.96, 1,047.08 and 629.16 is: 947.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.96 : 1,047.08 = 629.16 : x
  2. Step 2: Convert to fraction form
    694.96/1,047.08 = 629.16/x
  3. Step 3: Cross multiply
    694.96x = 1,047.08 × 629.16
  4. Step 4: Simplify right side
    694.96x = 658,780.85
  5. Step 5: Solve for x
    x = 658,780.85/694.96
  6. Step 6: Final answer
    x = 947.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.