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Finding the Fourth Proportional to 884.30, 1,220.31 and 491.33

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Solution

The fourth proportional to 884.30, 1,220.31 and 491.33 is: 678.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.30 : 1,220.31 = 491.33 : x
  2. Step 2: Convert to fraction form
    884.30/1,220.31 = 491.33/x
  3. Step 3: Cross multiply
    884.30x = 1,220.31 × 491.33
  4. Step 4: Simplify right side
    884.30x = 599,568.81
  5. Step 5: Solve for x
    x = 599,568.81/884.30
  6. Step 6: Final answer
    x = 678.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.