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Finding the Fourth Proportional to 994.70, 1,492.28 and 345.44

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Solution

The fourth proportional to 994.70, 1,492.28 and 345.44 is: 518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.70 : 1,492.28 = 345.44 : x
  2. Step 2: Convert to fraction form
    994.70/1,492.28 = 345.44/x
  3. Step 3: Cross multiply
    994.70x = 1,492.28 × 345.44
  4. Step 4: Simplify right side
    994.70x = 515,484.01
  5. Step 5: Solve for x
    x = 515,484.01/994.70
  6. Step 6: Final answer
    x = 518.23

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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.