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Finding the Fourth Proportional to 852.32, 1,175.38 and 617.83

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Solution

The fourth proportional to 852.32, 1,175.38 and 617.83 is: 852.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.32 : 1,175.38 = 617.83 : x
  2. Step 2: Convert to fraction form
    852.32/1,175.38 = 617.83/x
  3. Step 3: Cross multiply
    852.32x = 1,175.38 × 617.83
  4. Step 4: Simplify right side
    852.32x = 726,180.54
  5. Step 5: Solve for x
    x = 726,180.54/852.32
  6. Step 6: Final answer
    x = 852.00

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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.