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Finding the Fourth Proportional to 1,231.23, 1,696.52 and 837.57

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Solution

The fourth proportional to 1,231.23, 1,696.52 and 837.57 is: 1,154.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.23 : 1,696.52 = 837.57 : x
  2. Step 2: Convert to fraction form
    1,231.23/1,696.52 = 837.57/x
  3. Step 3: Cross multiply
    1,231.23x = 1,696.52 × 837.57
  4. Step 4: Simplify right side
    1,231.23x = 1,420,950.07
  5. Step 5: Solve for x
    x = 1,420,950.07/1,231.23
  6. Step 6: Final answer
    x = 1,154.09

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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.