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Finding the Fourth Proportional to 980.02, 1,469.21 and 459.77

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Solution

The fourth proportional to 980.02, 1,469.21 and 459.77 is: 689.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.02 : 1,469.21 = 459.77 : x
  2. Step 2: Convert to fraction form
    980.02/1,469.21 = 459.77/x
  3. Step 3: Cross multiply
    980.02x = 1,469.21 × 459.77
  4. Step 4: Simplify right side
    980.02x = 675,492.49
  5. Step 5: Solve for x
    x = 675,492.49/980.02
  6. Step 6: Final answer
    x = 689.27

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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.