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Finding the Fourth Proportional to 733.15, 1,099.72 and 618.33

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Solution

The fourth proportional to 733.15, 1,099.72 and 618.33 is: 927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.15 : 1,099.72 = 618.33 : x
  2. Step 2: Convert to fraction form
    733.15/1,099.72 = 618.33/x
  3. Step 3: Cross multiply
    733.15x = 1,099.72 × 618.33
  4. Step 4: Simplify right side
    733.15x = 679,989.87
  5. Step 5: Solve for x
    x = 679,989.87/733.15
  6. Step 6: Final answer
    x = 927.50

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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.