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Finding the Fourth Proportional to 1,111.86, 1,668.03 and 381.45

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Solution

The fourth proportional to 1,111.86, 1,668.03 and 381.45 is: 572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.86 : 1,668.03 = 381.45 : x
  2. Step 2: Convert to fraction form
    1,111.86/1,668.03 = 381.45/x
  3. Step 3: Cross multiply
    1,111.86x = 1,668.03 × 381.45
  4. Step 4: Simplify right side
    1,111.86x = 636,270.04
  5. Step 5: Solve for x
    x = 636,270.04/1,111.86
  6. Step 6: Final answer
    x = 572.26

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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.