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Finding the Fourth Proportional to 1,442.35, 2,163.56 and 564.82

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Solution

The fourth proportional to 1,442.35, 2,163.56 and 564.82 is: 847.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.35 : 2,163.56 = 564.82 : x
  2. Step 2: Convert to fraction form
    1,442.35/2,163.56 = 564.82/x
  3. Step 3: Cross multiply
    1,442.35x = 2,163.56 × 564.82
  4. Step 4: Simplify right side
    1,442.35x = 1,222,021.96
  5. Step 5: Solve for x
    x = 1,222,021.96/1,442.35
  6. Step 6: Final answer
    x = 847.24

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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.