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Finding the Fourth Proportional to 872.02, 1,307.22 and 823.69

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Solution

The fourth proportional to 872.02, 1,307.22 and 823.69 is: 1,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.02 : 1,307.22 = 823.69 : x
  2. Step 2: Convert to fraction form
    872.02/1,307.22 = 823.69/x
  3. Step 3: Cross multiply
    872.02x = 1,307.22 × 823.69
  4. Step 4: Simplify right side
    872.02x = 1,076,744.04
  5. Step 5: Solve for x
    x = 1,076,744.04/872.02
  6. Step 6: Final answer
    x = 1,234.77

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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.