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Finding the Fourth Proportional to 732.44, 1,097.75 and 321.77

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Solution

The fourth proportional to 732.44, 1,097.75 and 321.77 is: 482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.44 : 1,097.75 = 321.77 : x
  2. Step 2: Convert to fraction form
    732.44/1,097.75 = 321.77/x
  3. Step 3: Cross multiply
    732.44x = 1,097.75 × 321.77
  4. Step 4: Simplify right side
    732.44x = 353,226.57
  5. Step 5: Solve for x
    x = 353,226.57/732.44
  6. Step 6: Final answer
    x = 482.26

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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.