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Finding the Fourth Proportional to 880.14, 1,213.42 and 547.98

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Solution

The fourth proportional to 880.14, 1,213.42 and 547.98 is: 755.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.14 : 1,213.42 = 547.98 : x
  2. Step 2: Convert to fraction form
    880.14/1,213.42 = 547.98/x
  3. Step 3: Cross multiply
    880.14x = 1,213.42 × 547.98
  4. Step 4: Simplify right side
    880.14x = 664,929.89
  5. Step 5: Solve for x
    x = 664,929.89/880.14
  6. Step 6: Final answer
    x = 755.48

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