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Finding the Fourth Proportional to 822.12, 1,230.12 and 497.72

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Solution

The fourth proportional to 822.12, 1,230.12 and 497.72 is: 744.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.12 : 1,230.12 = 497.72 : x
  2. Step 2: Convert to fraction form
    822.12/1,230.12 = 497.72/x
  3. Step 3: Cross multiply
    822.12x = 1,230.12 × 497.72
  4. Step 4: Simplify right side
    822.12x = 612,255.33
  5. Step 5: Solve for x
    x = 612,255.33/822.12
  6. Step 6: Final answer
    x = 744.73

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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.