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Finding the Fourth Proportional to 1,276.63, 1,761.69 and 752.56

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Solution

The fourth proportional to 1,276.63, 1,761.69 and 752.56 is: 1,038.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.63 : 1,761.69 = 752.56 : x
  2. Step 2: Convert to fraction form
    1,276.63/1,761.69 = 752.56/x
  3. Step 3: Cross multiply
    1,276.63x = 1,761.69 × 752.56
  4. Step 4: Simplify right side
    1,276.63x = 1,325,777.43
  5. Step 5: Solve for x
    x = 1,325,777.43/1,276.63
  6. Step 6: Final answer
    x = 1,038.50

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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.