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Finding the Fourth Proportional to 1,096.54, 1,644.36 and 438.28

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Solution

The fourth proportional to 1,096.54, 1,644.36 and 438.28 is: 657.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.54 : 1,644.36 = 438.28 : x
  2. Step 2: Convert to fraction form
    1,096.54/1,644.36 = 438.28/x
  3. Step 3: Cross multiply
    1,096.54x = 1,644.36 × 438.28
  4. Step 4: Simplify right side
    1,096.54x = 720,690.10
  5. Step 5: Solve for x
    x = 720,690.10/1,096.54
  6. Step 6: Final answer
    x = 657.24

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Why These Related Problems?

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