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Finding the Fourth Proportional to 994.99, 1,492.49 and 264.51

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Solution

The fourth proportional to 994.99, 1,492.49 and 264.51 is: 396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.99 : 1,492.49 = 264.51 : x
  2. Step 2: Convert to fraction form
    994.99/1,492.49 = 264.51/x
  3. Step 3: Cross multiply
    994.99x = 1,492.49 × 264.51
  4. Step 4: Simplify right side
    994.99x = 394,778.53
  5. Step 5: Solve for x
    x = 394,778.53/994.99
  6. Step 6: Final answer
    x = 396.77

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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.