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Finding the Fourth Proportional to 1,111.85, 1,668.48 and 650.55

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Solution

The fourth proportional to 1,111.85, 1,668.48 and 650.55 is: 976.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.85 : 1,668.48 = 650.55 : x
  2. Step 2: Convert to fraction form
    1,111.85/1,668.48 = 650.55/x
  3. Step 3: Cross multiply
    1,111.85x = 1,668.48 × 650.55
  4. Step 4: Simplify right side
    1,111.85x = 1,085,429.66
  5. Step 5: Solve for x
    x = 1,085,429.66/1,111.85
  6. Step 6: Final answer
    x = 976.24

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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.