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Finding the Fourth Proportional to 926.81, 1,382.01 and 918.57

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Solution

The fourth proportional to 926.81, 1,382.01 and 918.57 is: 1,369.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.81 : 1,382.01 = 918.57 : x
  2. Step 2: Convert to fraction form
    926.81/1,382.01 = 918.57/x
  3. Step 3: Cross multiply
    926.81x = 1,382.01 × 918.57
  4. Step 4: Simplify right side
    926.81x = 1,269,472.93
  5. Step 5: Solve for x
    x = 1,269,472.93/926.81
  6. Step 6: Final answer
    x = 1,369.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.