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Finding the Fourth Proportional to 862.01, 1,189.44 and 512.63

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Solution

The fourth proportional to 862.01, 1,189.44 and 512.63 is: 707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.01 : 1,189.44 = 512.63 : x
  2. Step 2: Convert to fraction form
    862.01/1,189.44 = 512.63/x
  3. Step 3: Cross multiply
    862.01x = 1,189.44 × 512.63
  4. Step 4: Simplify right side
    862.01x = 609,736.68
  5. Step 5: Solve for x
    x = 609,736.68/862.01
  6. Step 6: Final answer
    x = 707.35

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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.