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Finding the Fourth Proportional to 891.26, 1,230.00 and 498.26

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Solution

The fourth proportional to 891.26, 1,230.00 and 498.26 is: 687.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.26 : 1,230.00 = 498.26 : x
  2. Step 2: Convert to fraction form
    891.26/1,230.00 = 498.26/x
  3. Step 3: Cross multiply
    891.26x = 1,230.00 × 498.26
  4. Step 4: Simplify right side
    891.26x = 612,856.89
  5. Step 5: Solve for x
    x = 612,856.89/891.26
  6. Step 6: Final answer
    x = 687.63

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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.