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Finding the Fourth Proportional to 733.40, 1,099.70 and 322.05

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Solution

The fourth proportional to 733.40, 1,099.70 and 322.05 is: 482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.40 : 1,099.70 = 322.05 : x
  2. Step 2: Convert to fraction form
    733.40/1,099.70 = 322.05/x
  3. Step 3: Cross multiply
    733.40x = 1,099.70 × 322.05
  4. Step 4: Simplify right side
    733.40x = 354,156.77
  5. Step 5: Solve for x
    x = 354,156.77/733.40
  6. Step 6: Final answer
    x = 482.90

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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.