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Finding the Fourth Proportional to 1,233.94, 1,702.81 and 674.41

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Solution

The fourth proportional to 1,233.94, 1,702.81 and 674.41 is: 930.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.94 : 1,702.81 = 674.41 : x
  2. Step 2: Convert to fraction form
    1,233.94/1,702.81 = 674.41/x
  3. Step 3: Cross multiply
    1,233.94x = 1,702.81 × 674.41
  4. Step 4: Simplify right side
    1,233.94x = 1,148,392.09
  5. Step 5: Solve for x
    x = 1,148,392.09/1,233.94
  6. Step 6: Final answer
    x = 930.67

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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.