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Finding the Fourth Proportional to 941.81, 1,299.74 and 522.20

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Solution

The fourth proportional to 941.81, 1,299.74 and 522.20 is: 720.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.81 : 1,299.74 = 522.20 : x
  2. Step 2: Convert to fraction form
    941.81/1,299.74 = 522.20/x
  3. Step 3: Cross multiply
    941.81x = 1,299.74 × 522.20
  4. Step 4: Simplify right side
    941.81x = 678,728.78
  5. Step 5: Solve for x
    x = 678,728.78/941.81
  6. Step 6: Final answer
    x = 720.67

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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.