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Finding the Fourth Proportional to 733.76, 1,100.65 and 295.22

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Solution

The fourth proportional to 733.76, 1,100.65 and 295.22 is: 442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.76 : 1,100.65 = 295.22 : x
  2. Step 2: Convert to fraction form
    733.76/1,100.65 = 295.22/x
  3. Step 3: Cross multiply
    733.76x = 1,100.65 × 295.22
  4. Step 4: Simplify right side
    733.76x = 324,927.65
  5. Step 5: Solve for x
    x = 324,927.65/733.76
  6. Step 6: Final answer
    x = 442.82

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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.