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Finding the Fourth Proportional to 891.49, 1,336.76 and 496.29

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Solution

The fourth proportional to 891.49, 1,336.76 and 496.29 is: 744.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.49 : 1,336.76 = 496.29 : x
  2. Step 2: Convert to fraction form
    891.49/1,336.76 = 496.29/x
  3. Step 3: Cross multiply
    891.49x = 1,336.76 × 496.29
  4. Step 4: Simplify right side
    891.49x = 663,418.15
  5. Step 5: Solve for x
    x = 663,418.15/891.49
  6. Step 6: Final answer
    x = 744.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.