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Finding the Fourth Proportional to 964.59, 1,330.22 and 893.85

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Solution

The fourth proportional to 964.59, 1,330.22 and 893.85 is: 1,232.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.59 : 1,330.22 = 893.85 : x
  2. Step 2: Convert to fraction form
    964.59/1,330.22 = 893.85/x
  3. Step 3: Cross multiply
    964.59x = 1,330.22 × 893.85
  4. Step 4: Simplify right side
    964.59x = 1,189,021.88
  5. Step 5: Solve for x
    x = 1,189,021.88/964.59
  6. Step 6: Final answer
    x = 1,232.67

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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.