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Finding the Fourth Proportional to 1,277.06, 1,761.68 and 857.56

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Solution

The fourth proportional to 1,277.06, 1,761.68 and 857.56 is: 1,182.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.06 : 1,761.68 = 857.56 : x
  2. Step 2: Convert to fraction form
    1,277.06/1,761.68 = 857.56/x
  3. Step 3: Cross multiply
    1,277.06x = 1,761.68 × 857.56
  4. Step 4: Simplify right side
    1,277.06x = 1,510,741.90
  5. Step 5: Solve for x
    x = 1,510,741.90/1,277.06
  6. Step 6: Final answer
    x = 1,182.98

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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.