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Finding the Fourth Proportional to 867.64, 1,197.03 and 513.48

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Solution

The fourth proportional to 867.64, 1,197.03 and 513.48 is: 708.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.64 : 1,197.03 = 513.48 : x
  2. Step 2: Convert to fraction form
    867.64/1,197.03 = 513.48/x
  3. Step 3: Cross multiply
    867.64x = 1,197.03 × 513.48
  4. Step 4: Simplify right side
    867.64x = 614,650.96
  5. Step 5: Solve for x
    x = 614,650.96/867.64
  6. Step 6: Final answer
    x = 708.42

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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.