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Finding the Fourth Proportional to 1,231.73, 1,698.48 and 916.49

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Solution

The fourth proportional to 1,231.73, 1,698.48 and 916.49 is: 1,263.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.73 : 1,698.48 = 916.49 : x
  2. Step 2: Convert to fraction form
    1,231.73/1,698.48 = 916.49/x
  3. Step 3: Cross multiply
    1,231.73x = 1,698.48 × 916.49
  4. Step 4: Simplify right side
    1,231.73x = 1,556,639.94
  5. Step 5: Solve for x
    x = 1,556,639.94/1,231.73
  6. Step 6: Final answer
    x = 1,263.78

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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.