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Finding the Fourth Proportional to 1,096.14, 1,643.84 and 355.56

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Solution

The fourth proportional to 1,096.14, 1,643.84 and 355.56 is: 533.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.14 : 1,643.84 = 355.56 : x
  2. Step 2: Convert to fraction form
    1,096.14/1,643.84 = 355.56/x
  3. Step 3: Cross multiply
    1,096.14x = 1,643.84 × 355.56
  4. Step 4: Simplify right side
    1,096.14x = 584,475.53
  5. Step 5: Solve for x
    x = 584,475.53/1,096.14
  6. Step 6: Final answer
    x = 533.21

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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.