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Finding the Fourth Proportional to 1,096.34, 1,643.73 and 548.13

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Solution

The fourth proportional to 1,096.34, 1,643.73 and 548.13 is: 821.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.34 : 1,643.73 = 548.13 : x
  2. Step 2: Convert to fraction form
    1,096.34/1,643.73 = 548.13/x
  3. Step 3: Cross multiply
    1,096.34x = 1,643.73 × 548.13
  4. Step 4: Simplify right side
    1,096.34x = 900,977.72
  5. Step 5: Solve for x
    x = 900,977.72/1,096.34
  6. Step 6: Final answer
    x = 821.81

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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.