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Finding the Fourth Proportional to 1,014.22, 1,406.17 and 980.05

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Solution

The fourth proportional to 1,014.22, 1,406.17 and 980.05 is: 1,358.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.22 : 1,406.17 = 980.05 : x
  2. Step 2: Convert to fraction form
    1,014.22/1,406.17 = 980.05/x
  3. Step 3: Cross multiply
    1,014.22x = 1,406.17 × 980.05
  4. Step 4: Simplify right side
    1,014.22x = 1,378,118.63
  5. Step 5: Solve for x
    x = 1,378,118.63/1,014.22
  6. Step 6: Final answer
    x = 1,358.79

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.