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Finding the Fourth Proportional to 884.07, 1,220.01 and 491.10

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Solution

The fourth proportional to 884.07, 1,220.01 and 491.10 is: 677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.07 : 1,220.01 = 491.10 : x
  2. Step 2: Convert to fraction form
    884.07/1,220.01 = 491.10/x
  3. Step 3: Cross multiply
    884.07x = 1,220.01 × 491.10
  4. Step 4: Simplify right side
    884.07x = 599,146.91
  5. Step 5: Solve for x
    x = 599,146.91/884.07
  6. Step 6: Final answer
    x = 677.71

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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.