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Finding the Fourth Proportional to 867.17, 1,196.49 and 513.14

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Solution

The fourth proportional to 867.17, 1,196.49 and 513.14 is: 708.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.17 : 1,196.49 = 513.14 : x
  2. Step 2: Convert to fraction form
    867.17/1,196.49 = 513.14/x
  3. Step 3: Cross multiply
    867.17x = 1,196.49 × 513.14
  4. Step 4: Simplify right side
    867.17x = 613,960.90
  5. Step 5: Solve for x
    x = 613,960.90/867.17
  6. Step 6: Final answer
    x = 708.01

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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.