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Finding the Fourth Proportional to 980.85, 1,352.82 and 608.02

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Solution

The fourth proportional to 980.85, 1,352.82 and 608.02 is: 838.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.85 : 1,352.82 = 608.02 : x
  2. Step 2: Convert to fraction form
    980.85/1,352.82 = 608.02/x
  3. Step 3: Cross multiply
    980.85x = 1,352.82 × 608.02
  4. Step 4: Simplify right side
    980.85x = 822,541.62
  5. Step 5: Solve for x
    x = 822,541.62/980.85
  6. Step 6: Final answer
    x = 838.60

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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.