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Finding the Fourth Proportional to 940.98, 1,409.04 and 836.49

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Solution

The fourth proportional to 940.98, 1,409.04 and 836.49 is: 1,252.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.98 : 1,409.04 = 836.49 : x
  2. Step 2: Convert to fraction form
    940.98/1,409.04 = 836.49/x
  3. Step 3: Cross multiply
    940.98x = 1,409.04 × 836.49
  4. Step 4: Simplify right side
    940.98x = 1,178,647.87
  5. Step 5: Solve for x
    x = 1,178,647.87/940.98
  6. Step 6: Final answer
    x = 1,252.57

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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.