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Finding the Fourth Proportional to 1,443.50, 1,993.66 and 976.94

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Solution

The fourth proportional to 1,443.50, 1,993.66 and 976.94 is: 1,349.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.50 : 1,993.66 = 976.94 : x
  2. Step 2: Convert to fraction form
    1,443.50/1,993.66 = 976.94/x
  3. Step 3: Cross multiply
    1,443.50x = 1,993.66 × 976.94
  4. Step 4: Simplify right side
    1,443.50x = 1,947,686.20
  5. Step 5: Solve for x
    x = 1,947,686.20/1,443.50
  6. Step 6: Final answer
    x = 1,349.28

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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.