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Finding the Fourth Proportional to 891.82, 1,230.64 and 493.48

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Solution

The fourth proportional to 891.82, 1,230.64 and 493.48 is: 680.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.82 : 1,230.64 = 493.48 : x
  2. Step 2: Convert to fraction form
    891.82/1,230.64 = 493.48/x
  3. Step 3: Cross multiply
    891.82x = 1,230.64 × 493.48
  4. Step 4: Simplify right side
    891.82x = 607,296.23
  5. Step 5: Solve for x
    x = 607,296.23/891.82
  6. Step 6: Final answer
    x = 680.96

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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.