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Finding the Fourth Proportional to 1,398.57, 1,930.78 and 980.21

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Solution

The fourth proportional to 1,398.57, 1,930.78 and 980.21 is: 1,353.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.57 : 1,930.78 = 980.21 : x
  2. Step 2: Convert to fraction form
    1,398.57/1,930.78 = 980.21/x
  3. Step 3: Cross multiply
    1,398.57x = 1,930.78 × 980.21
  4. Step 4: Simplify right side
    1,398.57x = 1,892,560.21
  5. Step 5: Solve for x
    x = 1,892,560.21/1,398.57
  6. Step 6: Final answer
    x = 1,353.21

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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.