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Finding the Fourth Proportional to 1,214.21, 1,675.97 and 793.82

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Solution

The fourth proportional to 1,214.21, 1,675.97 and 793.82 is: 1,095.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.21 : 1,675.97 = 793.82 : x
  2. Step 2: Convert to fraction form
    1,214.21/1,675.97 = 793.82/x
  3. Step 3: Cross multiply
    1,214.21x = 1,675.97 × 793.82
  4. Step 4: Simplify right side
    1,214.21x = 1,330,406.16
  5. Step 5: Solve for x
    x = 1,330,406.16/1,214.21
  6. Step 6: Final answer
    x = 1,095.70

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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.