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Finding the Fourth Proportional to 733.09, 1,099.64 and 322.13

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Solution

The fourth proportional to 733.09, 1,099.64 and 322.13 is: 483.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.09 : 1,099.64 = 322.13 : x
  2. Step 2: Convert to fraction form
    733.09/1,099.64 = 322.13/x
  3. Step 3: Cross multiply
    733.09x = 1,099.64 × 322.13
  4. Step 4: Simplify right side
    733.09x = 354,227.03
  5. Step 5: Solve for x
    x = 354,227.03/733.09
  6. Step 6: Final answer
    x = 483.20

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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.