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Finding the Fourth Proportional to 980.83, 1,353.78 and 561.42

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Solution

The fourth proportional to 980.83, 1,353.78 and 561.42 is: 774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.83 : 1,353.78 = 561.42 : x
  2. Step 2: Convert to fraction form
    980.83/1,353.78 = 561.42/x
  3. Step 3: Cross multiply
    980.83x = 1,353.78 × 561.42
  4. Step 4: Simplify right side
    980.83x = 760,039.18
  5. Step 5: Solve for x
    x = 760,039.18/980.83
  6. Step 6: Final answer
    x = 774.90

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