Home / 1,022.19-1,402.13-1,013.43

Finding the Fourth Proportional to 1,022.19, 1,402.13 and 1,013.43

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Solution

The fourth proportional to 1,022.19, 1,402.13 and 1,013.43 is: 1,390.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.19 : 1,402.13 = 1,013.43 : x
  2. Step 2: Convert to fraction form
    1,022.19/1,402.13 = 1,013.43/x
  3. Step 3: Cross multiply
    1,022.19x = 1,402.13 × 1,013.43
  4. Step 4: Simplify right side
    1,022.19x = 1,420,960.61
  5. Step 5: Solve for x
    x = 1,420,960.61/1,022.19
  6. Step 6: Final answer
    x = 1,390.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.