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Finding the Fourth Proportional to 891.99, 1,231.02 and 499.05

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Solution

The fourth proportional to 891.99, 1,231.02 and 499.05 is: 688.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.99 : 1,231.02 = 499.05 : x
  2. Step 2: Convert to fraction form
    891.99/1,231.02 = 499.05/x
  3. Step 3: Cross multiply
    891.99x = 1,231.02 × 499.05
  4. Step 4: Simplify right side
    891.99x = 614,340.53
  5. Step 5: Solve for x
    x = 614,340.53/891.99
  6. Step 6: Final answer
    x = 688.73

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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.