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Finding the Fourth Proportional to 1,276.94, 1,761.66 and 804.71

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Solution

The fourth proportional to 1,276.94, 1,761.66 and 804.71 is: 1,110.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.94 : 1,761.66 = 804.71 : x
  2. Step 2: Convert to fraction form
    1,276.94/1,761.66 = 804.71/x
  3. Step 3: Cross multiply
    1,276.94x = 1,761.66 × 804.71
  4. Step 4: Simplify right side
    1,276.94x = 1,417,616.61
  5. Step 5: Solve for x
    x = 1,417,616.61/1,276.94
  6. Step 6: Final answer
    x = 1,110.17

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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.