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Finding the Fourth Proportional to 1,255.99, 1,732.17 and 813.46

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Solution

The fourth proportional to 1,255.99, 1,732.17 and 813.46 is: 1,121.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.99 : 1,732.17 = 813.46 : x
  2. Step 2: Convert to fraction form
    1,255.99/1,732.17 = 813.46/x
  3. Step 3: Cross multiply
    1,255.99x = 1,732.17 × 813.46
  4. Step 4: Simplify right side
    1,255.99x = 1,409,051.01
  5. Step 5: Solve for x
    x = 1,409,051.01/1,255.99
  6. Step 6: Final answer
    x = 1,121.86

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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.