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Finding the Fourth Proportional to 980.50, 1,354.15 and 608.37

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Solution

The fourth proportional to 980.50, 1,354.15 and 608.37 is: 840.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.50 : 1,354.15 = 608.37 : x
  2. Step 2: Convert to fraction form
    980.50/1,354.15 = 608.37/x
  3. Step 3: Cross multiply
    980.50x = 1,354.15 × 608.37
  4. Step 4: Simplify right side
    980.50x = 823,819.92
  5. Step 5: Solve for x
    x = 823,819.92/980.50
  6. Step 6: Final answer
    x = 840.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.