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Finding the Fourth Proportional to 1,443.93, 1,991.64 and 946.98

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Solution

The fourth proportional to 1,443.93, 1,991.64 and 946.98 is: 1,306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.93 : 1,991.64 = 946.98 : x
  2. Step 2: Convert to fraction form
    1,443.93/1,991.64 = 946.98/x
  3. Step 3: Cross multiply
    1,443.93x = 1,991.64 × 946.98
  4. Step 4: Simplify right side
    1,443.93x = 1,886,043.25
  5. Step 5: Solve for x
    x = 1,886,043.25/1,443.93
  6. Step 6: Final answer
    x = 1,306.19

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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.