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Finding the Fourth Proportional to 980.29, 1,469.74 and 460

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Solution

The fourth proportional to 980.29, 1,469.74 and 460 is: 689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.29 : 1,469.74 = 460 : x
  2. Step 2: Convert to fraction form
    980.29/1,469.74 = 460/x
  3. Step 3: Cross multiply
    980.29x = 1,469.74 × 460
  4. Step 4: Simplify right side
    980.29x = 676,078.10
  5. Step 5: Solve for x
    x = 676,078.10/980.29
  6. Step 6: Final answer
    x = 689.67

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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.