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Finding the Fourth Proportional to 867.12, 1,196.60 and 513.11

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Solution

The fourth proportional to 867.12, 1,196.60 and 513.11 is: 708.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.12 : 1,196.60 = 513.11 : x
  2. Step 2: Convert to fraction form
    867.12/1,196.60 = 513.11/x
  3. Step 3: Cross multiply
    867.12x = 1,196.60 × 513.11
  4. Step 4: Simplify right side
    867.12x = 613,978.88
  5. Step 5: Solve for x
    x = 613,978.88/867.12
  6. Step 6: Final answer
    x = 708.07

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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.