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Finding the Fourth Proportional to 862.08, 1,189.26 and 582.36

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Solution

The fourth proportional to 862.08, 1,189.26 and 582.36 is: 803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.08 : 1,189.26 = 582.36 : x
  2. Step 2: Convert to fraction form
    862.08/1,189.26 = 582.36/x
  3. Step 3: Cross multiply
    862.08x = 1,189.26 × 582.36
  4. Step 4: Simplify right side
    862.08x = 692,577.45
  5. Step 5: Solve for x
    x = 692,577.45/862.08
  6. Step 6: Final answer
    x = 803.38

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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.