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Finding the Fourth Proportional to 1,374.29, 1,896.69 and 776.81

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Solution

The fourth proportional to 1,374.29, 1,896.69 and 776.81 is: 1,072.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.29 : 1,896.69 = 776.81 : x
  2. Step 2: Convert to fraction form
    1,374.29/1,896.69 = 776.81/x
  3. Step 3: Cross multiply
    1,374.29x = 1,896.69 × 776.81
  4. Step 4: Simplify right side
    1,374.29x = 1,473,367.76
  5. Step 5: Solve for x
    x = 1,473,367.76/1,374.29
  6. Step 6: Final answer
    x = 1,072.09

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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.