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Finding the Fourth Proportional to 1,096.05, 1,643.09 and 402.55

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Solution

The fourth proportional to 1,096.05, 1,643.09 and 402.55 is: 603.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.05 : 1,643.09 = 402.55 : x
  2. Step 2: Convert to fraction form
    1,096.05/1,643.09 = 402.55/x
  3. Step 3: Cross multiply
    1,096.05x = 1,643.09 × 402.55
  4. Step 4: Simplify right side
    1,096.05x = 661,429.99
  5. Step 5: Solve for x
    x = 661,429.99/1,096.05
  6. Step 6: Final answer
    x = 603.47

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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.