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Finding the Fourth Proportional to 1,290.40, 1,931.49 and 923.39

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Solution

The fourth proportional to 1,290.40, 1,931.49 and 923.39 is: 1,382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.40 : 1,931.49 = 923.39 : x
  2. Step 2: Convert to fraction form
    1,290.40/1,931.49 = 923.39/x
  3. Step 3: Cross multiply
    1,290.40x = 1,931.49 × 923.39
  4. Step 4: Simplify right side
    1,290.40x = 1,783,523.38
  5. Step 5: Solve for x
    x = 1,783,523.38/1,290.40
  6. Step 6: Final answer
    x = 1,382.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.