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Finding the Fourth Proportional to 1,085.69, 1,629.04 and 531.08

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Solution

The fourth proportional to 1,085.69, 1,629.04 and 531.08 is: 796.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.69 : 1,629.04 = 531.08 : x
  2. Step 2: Convert to fraction form
    1,085.69/1,629.04 = 531.08/x
  3. Step 3: Cross multiply
    1,085.69x = 1,629.04 × 531.08
  4. Step 4: Simplify right side
    1,085.69x = 865,142.42
  5. Step 5: Solve for x
    x = 865,142.42/1,085.69
  6. Step 6: Final answer
    x = 796.86

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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.