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Finding the Fourth Proportional to 883.44, 1,322.67 and 449.67

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Solution

The fourth proportional to 883.44, 1,322.67 and 449.67 is: 673.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.44 : 1,322.67 = 449.67 : x
  2. Step 2: Convert to fraction form
    883.44/1,322.67 = 449.67/x
  3. Step 3: Cross multiply
    883.44x = 1,322.67 × 449.67
  4. Step 4: Simplify right side
    883.44x = 594,765.02
  5. Step 5: Solve for x
    x = 594,765.02/883.44
  6. Step 6: Final answer
    x = 673.24

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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.