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Finding the Fourth Proportional to 891.98, 1,230.89 and 493.63

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Solution

The fourth proportional to 891.98, 1,230.89 and 493.63 is: 681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.98 : 1,230.89 = 493.63 : x
  2. Step 2: Convert to fraction form
    891.98/1,230.89 = 493.63/x
  3. Step 3: Cross multiply
    891.98x = 1,230.89 × 493.63
  4. Step 4: Simplify right side
    891.98x = 607,604.75
  5. Step 5: Solve for x
    x = 607,604.75/891.98
  6. Step 6: Final answer
    x = 681.18

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Why These Related Problems?

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