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Finding the Fourth Proportional to 1,076.13, 1,611.77 and 1,051.83

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Solution

The fourth proportional to 1,076.13, 1,611.77 and 1,051.83 is: 1,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.13 : 1,611.77 = 1,051.83 : x
  2. Step 2: Convert to fraction form
    1,076.13/1,611.77 = 1,051.83/x
  3. Step 3: Cross multiply
    1,076.13x = 1,611.77 × 1,051.83
  4. Step 4: Simplify right side
    1,076.13x = 1,695,302.78
  5. Step 5: Solve for x
    x = 1,695,302.78/1,076.13
  6. Step 6: Final answer
    x = 1,575.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.