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Finding the Fourth Proportional to 862.36, 1,190.06 and 512.96

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Solution

The fourth proportional to 862.36, 1,190.06 and 512.96 is: 707.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.36 : 1,190.06 = 512.96 : x
  2. Step 2: Convert to fraction form
    862.36/1,190.06 = 512.96/x
  3. Step 3: Cross multiply
    862.36x = 1,190.06 × 512.96
  4. Step 4: Simplify right side
    862.36x = 610,453.18
  5. Step 5: Solve for x
    x = 610,453.18/862.36
  6. Step 6: Final answer
    x = 707.89

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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.