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Finding the Fourth Proportional to 822.12, 1,233.80 and 302.62

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Solution

The fourth proportional to 822.12, 1,233.80 and 302.62 is: 454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.12 : 1,233.80 = 302.62 : x
  2. Step 2: Convert to fraction form
    822.12/1,233.80 = 302.62/x
  3. Step 3: Cross multiply
    822.12x = 1,233.80 × 302.62
  4. Step 4: Simplify right side
    822.12x = 373,372.56
  5. Step 5: Solve for x
    x = 373,372.56/822.12
  6. Step 6: Final answer
    x = 454.16

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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.