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Finding the Fourth Proportional to 821.86, 1,232 and 301.72

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Solution

The fourth proportional to 821.86, 1,232 and 301.72 is: 452.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.86 : 1,232 = 301.72 : x
  2. Step 2: Convert to fraction form
    821.86/1,232 = 301.72/x
  3. Step 3: Cross multiply
    821.86x = 1,232 × 301.72
  4. Step 4: Simplify right side
    821.86x = 371,719.04
  5. Step 5: Solve for x
    x = 371,719.04/821.86
  6. Step 6: Final answer
    x = 452.29

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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.