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Finding the Fourth Proportional to 911.85, 1,259.88 and 857.04

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Solution

The fourth proportional to 911.85, 1,259.88 and 857.04 is: 1,184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.85 : 1,259.88 = 857.04 : x
  2. Step 2: Convert to fraction form
    911.85/1,259.88 = 857.04/x
  3. Step 3: Cross multiply
    911.85x = 1,259.88 × 857.04
  4. Step 4: Simplify right side
    911.85x = 1,079,767.56
  5. Step 5: Solve for x
    x = 1,079,767.56/911.85
  6. Step 6: Final answer
    x = 1,184.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.