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Finding the Fourth Proportional to 854.85, 1,180.14 and 576.55

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Solution

The fourth proportional to 854.85, 1,180.14 and 576.55 is: 795.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.85 : 1,180.14 = 576.55 : x
  2. Step 2: Convert to fraction form
    854.85/1,180.14 = 576.55/x
  3. Step 3: Cross multiply
    854.85x = 1,180.14 × 576.55
  4. Step 4: Simplify right side
    854.85x = 680,409.03
  5. Step 5: Solve for x
    x = 680,409.03/854.85
  6. Step 6: Final answer
    x = 795.94

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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.