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Finding the Fourth Proportional to 884.06, 1,323.64 and 449.08

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Solution

The fourth proportional to 884.06, 1,323.64 and 449.08 is: 672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.06 : 1,323.64 = 449.08 : x
  2. Step 2: Convert to fraction form
    884.06/1,323.64 = 449.08/x
  3. Step 3: Cross multiply
    884.06x = 1,323.64 × 449.08
  4. Step 4: Simplify right side
    884.06x = 594,420.25
  5. Step 5: Solve for x
    x = 594,420.25/884.06
  6. Step 6: Final answer
    x = 672.38

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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.