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Finding the Fourth Proportional to 1,114.46, 1,667.91 and 839.86

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Solution

The fourth proportional to 1,114.46, 1,667.91 and 839.86 is: 1,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.46 : 1,667.91 = 839.86 : x
  2. Step 2: Convert to fraction form
    1,114.46/1,667.91 = 839.86/x
  3. Step 3: Cross multiply
    1,114.46x = 1,667.91 × 839.86
  4. Step 4: Simplify right side
    1,114.46x = 1,400,810.89
  5. Step 5: Solve for x
    x = 1,400,810.89/1,114.46
  6. Step 6: Final answer
    x = 1,256.94

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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.