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Finding the Fourth Proportional to 980.39, 1,474.10 and 904.30

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Solution

The fourth proportional to 980.39, 1,474.10 and 904.30 is: 1,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.39 : 1,474.10 = 904.30 : x
  2. Step 2: Convert to fraction form
    980.39/1,474.10 = 904.30/x
  3. Step 3: Cross multiply
    980.39x = 1,474.10 × 904.30
  4. Step 4: Simplify right side
    980.39x = 1,333,023.81
  5. Step 5: Solve for x
    x = 1,333,023.81/980.39
  6. Step 6: Final answer
    x = 1,359.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.