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Finding the Fourth Proportional to 883.98, 1,219.35 and 635.64

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Solution

The fourth proportional to 883.98, 1,219.35 and 635.64 is: 876.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.98 : 1,219.35 = 635.64 : x
  2. Step 2: Convert to fraction form
    883.98/1,219.35 = 635.64/x
  3. Step 3: Cross multiply
    883.98x = 1,219.35 × 635.64
  4. Step 4: Simplify right side
    883.98x = 775,061.54
  5. Step 5: Solve for x
    x = 775,061.54/883.98
  6. Step 6: Final answer
    x = 876.79

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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.