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Finding the Fourth Proportional to 1,096.36, 1,644.54 and 583.24

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Solution

The fourth proportional to 1,096.36, 1,644.54 and 583.24 is: 874.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.36 : 1,644.54 = 583.24 : x
  2. Step 2: Convert to fraction form
    1,096.36/1,644.54 = 583.24/x
  3. Step 3: Cross multiply
    1,096.36x = 1,644.54 × 583.24
  4. Step 4: Simplify right side
    1,096.36x = 959,161.51
  5. Step 5: Solve for x
    x = 959,161.51/1,096.36
  6. Step 6: Final answer
    x = 874.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.