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Finding the Fourth Proportional to 1,737.26, 2,605.22 and 566.96

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Solution

The fourth proportional to 1,737.26, 2,605.22 and 566.96 is: 850.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.26 : 2,605.22 = 566.96 : x
  2. Step 2: Convert to fraction form
    1,737.26/2,605.22 = 566.96/x
  3. Step 3: Cross multiply
    1,737.26x = 2,605.22 × 566.96
  4. Step 4: Simplify right side
    1,737.26x = 1,477,055.53
  5. Step 5: Solve for x
    x = 1,477,055.53/1,737.26
  6. Step 6: Final answer
    x = 850.22

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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.