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Finding the Fourth Proportional to 852.57, 1,177.20 and 557.73

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Solution

The fourth proportional to 852.57, 1,177.20 and 557.73 is: 770.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.57 : 1,177.20 = 557.73 : x
  2. Step 2: Convert to fraction form
    852.57/1,177.20 = 557.73/x
  3. Step 3: Cross multiply
    852.57x = 1,177.20 × 557.73
  4. Step 4: Simplify right side
    852.57x = 656,559.76
  5. Step 5: Solve for x
    x = 656,559.76/852.57
  6. Step 6: Final answer
    x = 770.09

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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.