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Finding the Fourth Proportional to 1,443.80, 1,992.47 and 846.65

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Solution

The fourth proportional to 1,443.80, 1,992.47 and 846.65 is: 1,168.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.80 : 1,992.47 = 846.65 : x
  2. Step 2: Convert to fraction form
    1,443.80/1,992.47 = 846.65/x
  3. Step 3: Cross multiply
    1,443.80x = 1,992.47 × 846.65
  4. Step 4: Simplify right side
    1,443.80x = 1,686,910.53
  5. Step 5: Solve for x
    x = 1,686,910.53/1,443.80
  6. Step 6: Final answer
    x = 1,168.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.