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Finding the Fourth Proportional to 1,362.49, 1,879.57 and 920.53

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Solution

The fourth proportional to 1,362.49, 1,879.57 and 920.53 is: 1,269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.49 : 1,879.57 = 920.53 : x
  2. Step 2: Convert to fraction form
    1,362.49/1,879.57 = 920.53/x
  3. Step 3: Cross multiply
    1,362.49x = 1,879.57 × 920.53
  4. Step 4: Simplify right side
    1,362.49x = 1,730,200.57
  5. Step 5: Solve for x
    x = 1,730,200.57/1,362.49
  6. Step 6: Final answer
    x = 1,269.88

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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.