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Finding the Fourth Proportional to 980.56, 1,350.63 and 823.02

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Solution

The fourth proportional to 980.56, 1,350.63 and 823.02 is: 1,133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.56 : 1,350.63 = 823.02 : x
  2. Step 2: Convert to fraction form
    980.56/1,350.63 = 823.02/x
  3. Step 3: Cross multiply
    980.56x = 1,350.63 × 823.02
  4. Step 4: Simplify right side
    980.56x = 1,111,595.50
  5. Step 5: Solve for x
    x = 1,111,595.50/980.56
  6. Step 6: Final answer
    x = 1,133.63

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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.