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Finding the Fourth Proportional to 862.37, 1,189.89 and 564.05

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Solution

The fourth proportional to 862.37, 1,189.89 and 564.05 is: 778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.37 : 1,189.89 = 564.05 : x
  2. Step 2: Convert to fraction form
    862.37/1,189.89 = 564.05/x
  3. Step 3: Cross multiply
    862.37x = 1,189.89 × 564.05
  4. Step 4: Simplify right side
    862.37x = 671,162.66
  5. Step 5: Solve for x
    x = 671,162.66/862.37
  6. Step 6: Final answer
    x = 778.28

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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.