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Finding the Fourth Proportional to 733.52, 1,099.24 and 646.67

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Solution

The fourth proportional to 733.52, 1,099.24 and 646.67 is: 969.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.52 : 1,099.24 = 646.67 : x
  2. Step 2: Convert to fraction form
    733.52/1,099.24 = 646.67/x
  3. Step 3: Cross multiply
    733.52x = 1,099.24 × 646.67
  4. Step 4: Simplify right side
    733.52x = 710,845.53
  5. Step 5: Solve for x
    x = 710,845.53/733.52
  6. Step 6: Final answer
    x = 969.09

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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.