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Finding the Fourth Proportional to 980.03, 1,467.72 and 851.06

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Solution

The fourth proportional to 980.03, 1,467.72 and 851.06 is: 1,274.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.03 : 1,467.72 = 851.06 : x
  2. Step 2: Convert to fraction form
    980.03/1,467.72 = 851.06/x
  3. Step 3: Cross multiply
    980.03x = 1,467.72 × 851.06
  4. Step 4: Simplify right side
    980.03x = 1,249,121.45
  5. Step 5: Solve for x
    x = 1,249,121.45/980.03
  6. Step 6: Final answer
    x = 1,274.57

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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.