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Finding the Fourth Proportional to 629.75, 941.82 and 560.78

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Solution

The fourth proportional to 629.75, 941.82 and 560.78 is: 838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.75 : 941.82 = 560.78 : x
  2. Step 2: Convert to fraction form
    629.75/941.82 = 560.78/x
  3. Step 3: Cross multiply
    629.75x = 941.82 × 560.78
  4. Step 4: Simplify right side
    629.75x = 528,149.11
  5. Step 5: Solve for x
    x = 528,149.11/629.75
  6. Step 6: Final answer
    x = 838.67

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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.