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Finding the Fourth Proportional to 891.56, 1,230.28 and 498.53

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Solution

The fourth proportional to 891.56, 1,230.28 and 498.53 is: 687.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.56 : 1,230.28 = 498.53 : x
  2. Step 2: Convert to fraction form
    891.56/1,230.28 = 498.53/x
  3. Step 3: Cross multiply
    891.56x = 1,230.28 × 498.53
  4. Step 4: Simplify right side
    891.56x = 613,324.09
  5. Step 5: Solve for x
    x = 613,324.09/891.56
  6. Step 6: Final answer
    x = 687.93

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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.