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Finding the Fourth Proportional to 994.80, 1,492.16 and 378.46

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Solution

The fourth proportional to 994.80, 1,492.16 and 378.46 is: 567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.80 : 1,492.16 = 378.46 : x
  2. Step 2: Convert to fraction form
    994.80/1,492.16 = 378.46/x
  3. Step 3: Cross multiply
    994.80x = 1,492.16 × 378.46
  4. Step 4: Simplify right side
    994.80x = 564,722.87
  5. Step 5: Solve for x
    x = 564,722.87/994.80
  6. Step 6: Final answer
    x = 567.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.