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Finding the Fourth Proportional to 1,284.78, 1,771.16 and 864.39

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Solution

The fourth proportional to 1,284.78, 1,771.16 and 864.39 is: 1,191.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.78 : 1,771.16 = 864.39 : x
  2. Step 2: Convert to fraction form
    1,284.78/1,771.16 = 864.39/x
  3. Step 3: Cross multiply
    1,284.78x = 1,771.16 × 864.39
  4. Step 4: Simplify right side
    1,284.78x = 1,530,968.67
  5. Step 5: Solve for x
    x = 1,530,968.67/1,284.78
  6. Step 6: Final answer
    x = 1,191.62

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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.