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Finding the Fourth Proportional to 1,111.78, 1,668.08 and 591.83

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Solution

The fourth proportional to 1,111.78, 1,668.08 and 591.83 is: 887.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.78 : 1,668.08 = 591.83 : x
  2. Step 2: Convert to fraction form
    1,111.78/1,668.08 = 591.83/x
  3. Step 3: Cross multiply
    1,111.78x = 1,668.08 × 591.83
  4. Step 4: Simplify right side
    1,111.78x = 987,219.79
  5. Step 5: Solve for x
    x = 987,219.79/1,111.78
  6. Step 6: Final answer
    x = 887.96

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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.