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Finding the Fourth Proportional to 866.44, 1,299.08 and 403.96

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Solution

The fourth proportional to 866.44, 1,299.08 and 403.96 is: 605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.44 : 1,299.08 = 403.96 : x
  2. Step 2: Convert to fraction form
    866.44/1,299.08 = 403.96/x
  3. Step 3: Cross multiply
    866.44x = 1,299.08 × 403.96
  4. Step 4: Simplify right side
    866.44x = 524,776.36
  5. Step 5: Solve for x
    x = 524,776.36/866.44
  6. Step 6: Final answer
    x = 605.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.