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Finding the Fourth Proportional to 1,366.72, 1,886.02 and 769.19

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Solution

The fourth proportional to 1,366.72, 1,886.02 and 769.19 is: 1,061.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.72 : 1,886.02 = 769.19 : x
  2. Step 2: Convert to fraction form
    1,366.72/1,886.02 = 769.19/x
  3. Step 3: Cross multiply
    1,366.72x = 1,886.02 × 769.19
  4. Step 4: Simplify right side
    1,366.72x = 1,450,696.37
  5. Step 5: Solve for x
    x = 1,450,696.37/1,366.72
  6. Step 6: Final answer
    x = 1,061.45

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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.