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Finding the Fourth Proportional to 1,111.42, 1,668.14 and 591.86

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Solution

The fourth proportional to 1,111.42, 1,668.14 and 591.86 is: 888.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.42 : 1,668.14 = 591.86 : x
  2. Step 2: Convert to fraction form
    1,111.42/1,668.14 = 591.86/x
  3. Step 3: Cross multiply
    1,111.42x = 1,668.14 × 591.86
  4. Step 4: Simplify right side
    1,111.42x = 987,294.04
  5. Step 5: Solve for x
    x = 987,294.04/1,111.42
  6. Step 6: Final answer
    x = 888.32

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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.