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Finding the Fourth Proportional to 891.44, 1,230.16 and 493.10

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Solution

The fourth proportional to 891.44, 1,230.16 and 493.10 is: 680.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.44 : 1,230.16 = 493.10 : x
  2. Step 2: Convert to fraction form
    891.44/1,230.16 = 493.10/x
  3. Step 3: Cross multiply
    891.44x = 1,230.16 × 493.10
  4. Step 4: Simplify right side
    891.44x = 606,589.85
  5. Step 5: Solve for x
    x = 606,589.85/891.44
  6. Step 6: Final answer
    x = 680.46

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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.