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Finding the Fourth Proportional to 886.66, 1,212.20 and 852.64

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Solution

The fourth proportional to 886.66, 1,212.20 and 852.64 is: 1,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.66 : 1,212.20 = 852.64 : x
  2. Step 2: Convert to fraction form
    886.66/1,212.20 = 852.64/x
  3. Step 3: Cross multiply
    886.66x = 1,212.20 × 852.64
  4. Step 4: Simplify right side
    886.66x = 1,033,570.21
  5. Step 5: Solve for x
    x = 1,033,570.21/886.66
  6. Step 6: Final answer
    x = 1,165.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.