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Finding the Fourth Proportional to 1,085.92, 1,629.16 and 316.42

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Solution

The fourth proportional to 1,085.92, 1,629.16 and 316.42 is: 474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.92 : 1,629.16 = 316.42 : x
  2. Step 2: Convert to fraction form
    1,085.92/1,629.16 = 316.42/x
  3. Step 3: Cross multiply
    1,085.92x = 1,629.16 × 316.42
  4. Step 4: Simplify right side
    1,085.92x = 515,498.81
  5. Step 5: Solve for x
    x = 515,498.81/1,085.92
  6. Step 6: Final answer
    x = 474.71

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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.