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Finding the Fourth Proportional to 1,363.10, 1,879.83 and 970.46

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Solution

The fourth proportional to 1,363.10, 1,879.83 and 970.46 is: 1,338.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.10 : 1,879.83 = 970.46 : x
  2. Step 2: Convert to fraction form
    1,363.10/1,879.83 = 970.46/x
  3. Step 3: Cross multiply
    1,363.10x = 1,879.83 × 970.46
  4. Step 4: Simplify right side
    1,363.10x = 1,824,299.82
  5. Step 5: Solve for x
    x = 1,824,299.82/1,363.10
  6. Step 6: Final answer
    x = 1,338.35

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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.