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Finding the Fourth Proportional to 1,506.21, 2,078.37 and 842.96

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Solution

The fourth proportional to 1,506.21, 2,078.37 and 842.96 is: 1,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.21 : 2,078.37 = 842.96 : x
  2. Step 2: Convert to fraction form
    1,506.21/2,078.37 = 842.96/x
  3. Step 3: Cross multiply
    1,506.21x = 2,078.37 × 842.96
  4. Step 4: Simplify right side
    1,506.21x = 1,751,972.38
  5. Step 5: Solve for x
    x = 1,751,972.38/1,506.21
  6. Step 6: Final answer
    x = 1,163.17

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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.