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Finding the Fourth Proportional to 1,019.39, 1,520.25 and 994.55

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Solution

The fourth proportional to 1,019.39, 1,520.25 and 994.55 is: 1,483.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.39 : 1,520.25 = 994.55 : x
  2. Step 2: Convert to fraction form
    1,019.39/1,520.25 = 994.55/x
  3. Step 3: Cross multiply
    1,019.39x = 1,520.25 × 994.55
  4. Step 4: Simplify right side
    1,019.39x = 1,511,953.31
  5. Step 5: Solve for x
    x = 1,511,953.31/1,019.39
  6. Step 6: Final answer
    x = 1,483.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.