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Finding the Fourth Proportional to 994.68, 1,491 and 378

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Solution

The fourth proportional to 994.68, 1,491 and 378 is: 566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.68 : 1,491 = 378 : x
  2. Step 2: Convert to fraction form
    994.68/1,491 = 378/x
  3. Step 3: Cross multiply
    994.68x = 1,491 × 378
  4. Step 4: Simplify right side
    994.68x = 563,598
  5. Step 5: Solve for x
    x = 563,598/994.68
  6. Step 6: Final answer
    x = 566.61

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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.