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Finding the Fourth Proportional to 980.63, 1,463.76 and 851.53

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Solution

The fourth proportional to 980.63, 1,463.76 and 851.53 is: 1,271.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.63 : 1,463.76 = 851.53 : x
  2. Step 2: Convert to fraction form
    980.63/1,463.76 = 851.53/x
  3. Step 3: Cross multiply
    980.63x = 1,463.76 × 851.53
  4. Step 4: Simplify right side
    980.63x = 1,246,435.55
  5. Step 5: Solve for x
    x = 1,246,435.55/980.63
  6. Step 6: Final answer
    x = 1,271.06

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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.