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Finding the Fourth Proportional to 852.35, 1,175.94 and 557.80

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Solution

The fourth proportional to 852.35, 1,175.94 and 557.80 is: 769.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.35 : 1,175.94 = 557.80 : x
  2. Step 2: Convert to fraction form
    852.35/1,175.94 = 557.80/x
  3. Step 3: Cross multiply
    852.35x = 1,175.94 × 557.80
  4. Step 4: Simplify right side
    852.35x = 655,936.39
  5. Step 5: Solve for x
    x = 655,936.39/852.35
  6. Step 6: Final answer
    x = 769.57

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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.