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Finding the Fourth Proportional to 867.33, 1,196.75 and 513.23

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Solution

The fourth proportional to 867.33, 1,196.75 and 513.23 is: 708.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.33 : 1,196.75 = 513.23 : x
  2. Step 2: Convert to fraction form
    867.33/1,196.75 = 513.23/x
  3. Step 3: Cross multiply
    867.33x = 1,196.75 × 513.23
  4. Step 4: Simplify right side
    867.33x = 614,199.45
  5. Step 5: Solve for x
    x = 614,199.45/867.33
  6. Step 6: Final answer
    x = 708.15

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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.