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Finding the Fourth Proportional to 994.92, 1,492.20 and 628.62

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Solution

The fourth proportional to 994.92, 1,492.20 and 628.62 is: 942.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.92 : 1,492.20 = 628.62 : x
  2. Step 2: Convert to fraction form
    994.92/1,492.20 = 628.62/x
  3. Step 3: Cross multiply
    994.92x = 1,492.20 × 628.62
  4. Step 4: Simplify right side
    994.92x = 938,026.76
  5. Step 5: Solve for x
    x = 938,026.76/994.92
  6. Step 6: Final answer
    x = 942.82

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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.