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Finding the Fourth Proportional to 1,026.46, 1,426.06 and 1,014.15

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Solution

The fourth proportional to 1,026.46, 1,426.06 and 1,014.15 is: 1,408.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.46 : 1,426.06 = 1,014.15 : x
  2. Step 2: Convert to fraction form
    1,026.46/1,426.06 = 1,014.15/x
  3. Step 3: Cross multiply
    1,026.46x = 1,426.06 × 1,014.15
  4. Step 4: Simplify right side
    1,026.46x = 1,446,248.22
  5. Step 5: Solve for x
    x = 1,446,248.22/1,026.46
  6. Step 6: Final answer
    x = 1,408.97

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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.