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Finding the Fourth Proportional to 1,213.86, 1,675.90 and 933.56

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Solution

The fourth proportional to 1,213.86, 1,675.90 and 933.56 is: 1,288.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.86 : 1,675.90 = 933.56 : x
  2. Step 2: Convert to fraction form
    1,213.86/1,675.90 = 933.56/x
  3. Step 3: Cross multiply
    1,213.86x = 1,675.90 × 933.56
  4. Step 4: Simplify right side
    1,213.86x = 1,564,553.20
  5. Step 5: Solve for x
    x = 1,564,553.20/1,213.86
  6. Step 6: Final answer
    x = 1,288.91

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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.