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Finding the Fourth Proportional to 860.38, 1,287.36 and 513.90

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Solution

The fourth proportional to 860.38, 1,287.36 and 513.90 is: 768.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.38 : 1,287.36 = 513.90 : x
  2. Step 2: Convert to fraction form
    860.38/1,287.36 = 513.90/x
  3. Step 3: Cross multiply
    860.38x = 1,287.36 × 513.90
  4. Step 4: Simplify right side
    860.38x = 661,574.30
  5. Step 5: Solve for x
    x = 661,574.30/860.38
  6. Step 6: Final answer
    x = 768.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.