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Finding the Fourth Proportional to 1,074.76, 1,612.68 and 994.12

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Solution

The fourth proportional to 1,074.76, 1,612.68 and 994.12 is: 1,491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.76 : 1,612.68 = 994.12 : x
  2. Step 2: Convert to fraction form
    1,074.76/1,612.68 = 994.12/x
  3. Step 3: Cross multiply
    1,074.76x = 1,612.68 × 994.12
  4. Step 4: Simplify right side
    1,074.76x = 1,603,197.44
  5. Step 5: Solve for x
    x = 1,603,197.44/1,074.76
  6. Step 6: Final answer
    x = 1,491.68

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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.