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Finding the Fourth Proportional to 823.61, 1,234.80 and 303.33

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Solution

The fourth proportional to 823.61, 1,234.80 and 303.33 is: 454.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.61 : 1,234.80 = 303.33 : x
  2. Step 2: Convert to fraction form
    823.61/1,234.80 = 303.33/x
  3. Step 3: Cross multiply
    823.61x = 1,234.80 × 303.33
  4. Step 4: Simplify right side
    823.61x = 374,551.88
  5. Step 5: Solve for x
    x = 374,551.88/823.61
  6. Step 6: Final answer
    x = 454.77

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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.