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Finding the Fourth Proportional to 734.44, 1,100.64 and 322.96

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Solution

The fourth proportional to 734.44, 1,100.64 and 322.96 is: 483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.44 : 1,100.64 = 322.96 : x
  2. Step 2: Convert to fraction form
    734.44/1,100.64 = 322.96/x
  3. Step 3: Cross multiply
    734.44x = 1,100.64 × 322.96
  4. Step 4: Simplify right side
    734.44x = 355,462.69
  5. Step 5: Solve for x
    x = 355,462.69/734.44
  6. Step 6: Final answer
    x = 483.99

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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.