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Finding the Fourth Proportional to 1,278.94, 1,765.66 and 1,026.22

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Solution

The fourth proportional to 1,278.94, 1,765.66 and 1,026.22 is: 1,416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.94 : 1,765.66 = 1,026.22 : x
  2. Step 2: Convert to fraction form
    1,278.94/1,765.66 = 1,026.22/x
  3. Step 3: Cross multiply
    1,278.94x = 1,765.66 × 1,026.22
  4. Step 4: Simplify right side
    1,278.94x = 1,811,955.61
  5. Step 5: Solve for x
    x = 1,811,955.61/1,278.94
  6. Step 6: Final answer
    x = 1,416.76

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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.