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Finding the Fourth Proportional to 822.64, 1,233.82 and 302.51

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Solution

The fourth proportional to 822.64, 1,233.82 and 302.51 is: 453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.64 : 1,233.82 = 302.51 : x
  2. Step 2: Convert to fraction form
    822.64/1,233.82 = 302.51/x
  3. Step 3: Cross multiply
    822.64x = 1,233.82 × 302.51
  4. Step 4: Simplify right side
    822.64x = 373,239.80
  5. Step 5: Solve for x
    x = 373,239.80/822.64
  6. Step 6: Final answer
    x = 453.71

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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.