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Finding the Fourth Proportional to 1,060.99, 1,591.22 and 475.67

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Solution

The fourth proportional to 1,060.99, 1,591.22 and 475.67 is: 713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.99 : 1,591.22 = 475.67 : x
  2. Step 2: Convert to fraction form
    1,060.99/1,591.22 = 475.67/x
  3. Step 3: Cross multiply
    1,060.99x = 1,591.22 × 475.67
  4. Step 4: Simplify right side
    1,060.99x = 756,895.62
  5. Step 5: Solve for x
    x = 756,895.62/1,060.99
  6. Step 6: Final answer
    x = 713.39

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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.