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Finding the Fourth Proportional to 891.33, 1,230.15 and 498.38

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Solution

The fourth proportional to 891.33, 1,230.15 and 498.38 is: 687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.33 : 1,230.15 = 498.38 : x
  2. Step 2: Convert to fraction form
    891.33/1,230.15 = 498.38/x
  3. Step 3: Cross multiply
    891.33x = 1,230.15 × 498.38
  4. Step 4: Simplify right side
    891.33x = 613,076.01
  5. Step 5: Solve for x
    x = 613,076.01/891.33
  6. Step 6: Final answer
    x = 687.82

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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.