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Finding the Fourth Proportional to 886.08, 1,216.29 and 785.64

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Solution

The fourth proportional to 886.08, 1,216.29 and 785.64 is: 1,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.08 : 1,216.29 = 785.64 : x
  2. Step 2: Convert to fraction form
    886.08/1,216.29 = 785.64/x
  3. Step 3: Cross multiply
    886.08x = 1,216.29 × 785.64
  4. Step 4: Simplify right side
    886.08x = 955,566.08
  5. Step 5: Solve for x
    x = 955,566.08/886.08
  6. Step 6: Final answer
    x = 1,078.42

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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.