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Finding the Fourth Proportional to 1,443.47, 1,991.77 and 813.88

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Solution

The fourth proportional to 1,443.47, 1,991.77 and 813.88 is: 1,123.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.47 : 1,991.77 = 813.88 : x
  2. Step 2: Convert to fraction form
    1,443.47/1,991.77 = 813.88/x
  3. Step 3: Cross multiply
    1,443.47x = 1,991.77 × 813.88
  4. Step 4: Simplify right side
    1,443.47x = 1,621,061.77
  5. Step 5: Solve for x
    x = 1,621,061.77/1,443.47
  6. Step 6: Final answer
    x = 1,123.03

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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.