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Finding the Fourth Proportional to 944.46, 1,409.74 and 821.41

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Solution

The fourth proportional to 944.46, 1,409.74 and 821.41 is: 1,226.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.46 : 1,409.74 = 821.41 : x
  2. Step 2: Convert to fraction form
    944.46/1,409.74 = 821.41/x
  3. Step 3: Cross multiply
    944.46x = 1,409.74 × 821.41
  4. Step 4: Simplify right side
    944.46x = 1,157,968.96
  5. Step 5: Solve for x
    x = 1,157,968.96/944.46
  6. Step 6: Final answer
    x = 1,226.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.