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Finding the Fourth Proportional to 822.24, 1,231.74 and 529.02

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Solution

The fourth proportional to 822.24, 1,231.74 and 529.02 is: 792.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.24 : 1,231.74 = 529.02 : x
  2. Step 2: Convert to fraction form
    822.24/1,231.74 = 529.02/x
  3. Step 3: Cross multiply
    822.24x = 1,231.74 × 529.02
  4. Step 4: Simplify right side
    822.24x = 651,615.09
  5. Step 5: Solve for x
    x = 651,615.09/822.24
  6. Step 6: Final answer
    x = 792.49

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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.