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Finding the Fourth Proportional to 884.13, 1,219.37 and 551.98

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Solution

The fourth proportional to 884.13, 1,219.37 and 551.98 is: 761.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.13 : 1,219.37 = 551.98 : x
  2. Step 2: Convert to fraction form
    884.13/1,219.37 = 551.98/x
  3. Step 3: Cross multiply
    884.13x = 1,219.37 × 551.98
  4. Step 4: Simplify right side
    884.13x = 673,061.76
  5. Step 5: Solve for x
    x = 673,061.76/884.13
  6. Step 6: Final answer
    x = 761.27

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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.