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Finding the Fourth Proportional to 1,443.96, 1,992.56 and 846.36

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Solution

The fourth proportional to 1,443.96, 1,992.56 and 846.36 is: 1,167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.96 : 1,992.56 = 846.36 : x
  2. Step 2: Convert to fraction form
    1,443.96/1,992.56 = 846.36/x
  3. Step 3: Cross multiply
    1,443.96x = 1,992.56 × 846.36
  4. Step 4: Simplify right side
    1,443.96x = 1,686,423.08
  5. Step 5: Solve for x
    x = 1,686,423.08/1,443.96
  6. Step 6: Final answer
    x = 1,167.92

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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.