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Finding the Fourth Proportional to 867.50, 1,197.16 and 513.44

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Solution

The fourth proportional to 867.50, 1,197.16 and 513.44 is: 708.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.50 : 1,197.16 = 513.44 : x
  2. Step 2: Convert to fraction form
    867.50/1,197.16 = 513.44/x
  3. Step 3: Cross multiply
    867.50x = 1,197.16 × 513.44
  4. Step 4: Simplify right side
    867.50x = 614,669.83
  5. Step 5: Solve for x
    x = 614,669.83/867.50
  6. Step 6: Final answer
    x = 708.55

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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.