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Finding the Fourth Proportional to 883.44, 1,219.19 and 735.82

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Solution

The fourth proportional to 883.44, 1,219.19 and 735.82 is: 1,015.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.44 : 1,219.19 = 735.82 : x
  2. Step 2: Convert to fraction form
    883.44/1,219.19 = 735.82/x
  3. Step 3: Cross multiply
    883.44x = 1,219.19 × 735.82
  4. Step 4: Simplify right side
    883.44x = 897,097.66
  5. Step 5: Solve for x
    x = 897,097.66/883.44
  6. Step 6: Final answer
    x = 1,015.46

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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.