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Finding the Fourth Proportional to 867.27, 1,196.80 and 513.18

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Solution

The fourth proportional to 867.27, 1,196.80 and 513.18 is: 708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.27 : 1,196.80 = 513.18 : x
  2. Step 2: Convert to fraction form
    867.27/1,196.80 = 513.18/x
  3. Step 3: Cross multiply
    867.27x = 1,196.80 × 513.18
  4. Step 4: Simplify right side
    867.27x = 614,173.82
  5. Step 5: Solve for x
    x = 614,173.82/867.27
  6. Step 6: Final answer
    x = 708.17

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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.