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Finding the Fourth Proportional to 823.01, 1,234.69 and 360.63

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Solution

The fourth proportional to 823.01, 1,234.69 and 360.63 is: 541.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.01 : 1,234.69 = 360.63 : x
  2. Step 2: Convert to fraction form
    823.01/1,234.69 = 360.63/x
  3. Step 3: Cross multiply
    823.01x = 1,234.69 × 360.63
  4. Step 4: Simplify right side
    823.01x = 445,265.35
  5. Step 5: Solve for x
    x = 445,265.35/823.01
  6. Step 6: Final answer
    x = 541.02

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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.