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Finding the Fourth Proportional to 1,276.06, 1,761.72 and 903.82

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Solution

The fourth proportional to 1,276.06, 1,761.72 and 903.82 is: 1,247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.06 : 1,761.72 = 903.82 : x
  2. Step 2: Convert to fraction form
    1,276.06/1,761.72 = 903.82/x
  3. Step 3: Cross multiply
    1,276.06x = 1,761.72 × 903.82
  4. Step 4: Simplify right side
    1,276.06x = 1,592,277.77
  5. Step 5: Solve for x
    x = 1,592,277.77/1,276.06
  6. Step 6: Final answer
    x = 1,247.81

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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.