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Finding the Fourth Proportional to 733.15, 1,099.61 and 322.01

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Solution

The fourth proportional to 733.15, 1,099.61 and 322.01 is: 482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.15 : 1,099.61 = 322.01 : x
  2. Step 2: Convert to fraction form
    733.15/1,099.61 = 322.01/x
  3. Step 3: Cross multiply
    733.15x = 1,099.61 × 322.01
  4. Step 4: Simplify right side
    733.15x = 354,083.64
  5. Step 5: Solve for x
    x = 354,083.64/733.15
  6. Step 6: Final answer
    x = 482.96

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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.