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Finding the Fourth Proportional to 962.06, 1,441.77 and 550.33

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Solution

The fourth proportional to 962.06, 1,441.77 and 550.33 is: 824.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.06 : 1,441.77 = 550.33 : x
  2. Step 2: Convert to fraction form
    962.06/1,441.77 = 550.33/x
  3. Step 3: Cross multiply
    962.06x = 1,441.77 × 550.33
  4. Step 4: Simplify right side
    962.06x = 793,446.53
  5. Step 5: Solve for x
    x = 793,446.53/962.06
  6. Step 6: Final answer
    x = 824.73

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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.