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Finding the Fourth Proportional to 1,213.73, 1,675.73 and 933.44

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Solution

The fourth proportional to 1,213.73, 1,675.73 and 933.44 is: 1,288.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.73 : 1,675.73 = 933.44 : x
  2. Step 2: Convert to fraction form
    1,213.73/1,675.73 = 933.44/x
  3. Step 3: Cross multiply
    1,213.73x = 1,675.73 × 933.44
  4. Step 4: Simplify right side
    1,213.73x = 1,564,199.93
  5. Step 5: Solve for x
    x = 1,564,199.93/1,213.73
  6. Step 6: Final answer
    x = 1,288.76

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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.