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Finding the Fourth Proportional to 994.92, 1,492.36 and 264.50

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Solution

The fourth proportional to 994.92, 1,492.36 and 264.50 is: 396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.92 : 1,492.36 = 264.50 : x
  2. Step 2: Convert to fraction form
    994.92/1,492.36 = 264.50/x
  3. Step 3: Cross multiply
    994.92x = 1,492.36 × 264.50
  4. Step 4: Simplify right side
    994.92x = 394,729.22
  5. Step 5: Solve for x
    x = 394,729.22/994.92
  6. Step 6: Final answer
    x = 396.74

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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.