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Finding the Fourth Proportional to 1,363.03, 1,882.19 and 1,013.11

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Solution

The fourth proportional to 1,363.03, 1,882.19 and 1,013.11 is: 1,398.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.03 : 1,882.19 = 1,013.11 : x
  2. Step 2: Convert to fraction form
    1,363.03/1,882.19 = 1,013.11/x
  3. Step 3: Cross multiply
    1,363.03x = 1,882.19 × 1,013.11
  4. Step 4: Simplify right side
    1,363.03x = 1,906,860.45
  5. Step 5: Solve for x
    x = 1,906,860.45/1,363.03
  6. Step 6: Final answer
    x = 1,398.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.