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Finding the Fourth Proportional to 1,073.99, 1,611.80 and 786.17

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Solution

The fourth proportional to 1,073.99, 1,611.80 and 786.17 is: 1,179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.99 : 1,611.80 = 786.17 : x
  2. Step 2: Convert to fraction form
    1,073.99/1,611.80 = 786.17/x
  3. Step 3: Cross multiply
    1,073.99x = 1,611.80 × 786.17
  4. Step 4: Simplify right side
    1,073.99x = 1,267,148.81
  5. Step 5: Solve for x
    x = 1,267,148.81/1,073.99
  6. Step 6: Final answer
    x = 1,179.85

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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.