Home / 1,003.19-1,390.23-983.75

Finding the Fourth Proportional to 1,003.19, 1,390.23 and 983.75

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Solution

The fourth proportional to 1,003.19, 1,390.23 and 983.75 is: 1,363.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.19 : 1,390.23 = 983.75 : x
  2. Step 2: Convert to fraction form
    1,003.19/1,390.23 = 983.75/x
  3. Step 3: Cross multiply
    1,003.19x = 1,390.23 × 983.75
  4. Step 4: Simplify right side
    1,003.19x = 1,367,631.81
  5. Step 5: Solve for x
    x = 1,367,631.81/1,003.19
  6. Step 6: Final answer
    x = 1,363.29

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.