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Finding the Fourth Proportional to 1,363.06, 1,882.56 and 920.19

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Solution

The fourth proportional to 1,363.06, 1,882.56 and 920.19 is: 1,270.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.06 : 1,882.56 = 920.19 : x
  2. Step 2: Convert to fraction form
    1,363.06/1,882.56 = 920.19/x
  3. Step 3: Cross multiply
    1,363.06x = 1,882.56 × 920.19
  4. Step 4: Simplify right side
    1,363.06x = 1,732,312.89
  5. Step 5: Solve for x
    x = 1,732,312.89/1,363.06
  6. Step 6: Final answer
    x = 1,270.90

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