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Finding the Fourth Proportional to 1,363.62, 1,883.33 and 920.75

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Solution

The fourth proportional to 1,363.62, 1,883.33 and 920.75 is: 1,271.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.62 : 1,883.33 = 920.75 : x
  2. Step 2: Convert to fraction form
    1,363.62/1,883.33 = 920.75/x
  3. Step 3: Cross multiply
    1,363.62x = 1,883.33 × 920.75
  4. Step 4: Simplify right side
    1,363.62x = 1,734,071.49
  5. Step 5: Solve for x
    x = 1,734,071.49/1,363.62
  6. Step 6: Final answer
    x = 1,271.67

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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.