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Finding the Fourth Proportional to 822.76, 1,231.69 and 497.14

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Solution

The fourth proportional to 822.76, 1,231.69 and 497.14 is: 744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.76 : 1,231.69 = 497.14 : x
  2. Step 2: Convert to fraction form
    822.76/1,231.69 = 497.14/x
  3. Step 3: Cross multiply
    822.76x = 1,231.69 × 497.14
  4. Step 4: Simplify right side
    822.76x = 612,322.37
  5. Step 5: Solve for x
    x = 612,322.37/822.76
  6. Step 6: Final answer
    x = 744.23

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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.