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Finding the Fourth Proportional to 822.77, 1,135.41 and 449.74

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Solution

The fourth proportional to 822.77, 1,135.41 and 449.74 is: 620.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.77 : 1,135.41 = 449.74 : x
  2. Step 2: Convert to fraction form
    822.77/1,135.41 = 449.74/x
  3. Step 3: Cross multiply
    822.77x = 1,135.41 × 449.74
  4. Step 4: Simplify right side
    822.77x = 510,645.67
  5. Step 5: Solve for x
    x = 510,645.67/822.77
  6. Step 6: Final answer
    x = 620.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.