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Finding the Fourth Proportional to 1,442.63, 2,164.33 and 518.29

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Solution

The fourth proportional to 1,442.63, 2,164.33 and 518.29 is: 777.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.63 : 2,164.33 = 518.29 : x
  2. Step 2: Convert to fraction form
    1,442.63/2,164.33 = 518.29/x
  3. Step 3: Cross multiply
    1,442.63x = 2,164.33 × 518.29
  4. Step 4: Simplify right side
    1,442.63x = 1,121,745.83
  5. Step 5: Solve for x
    x = 1,121,745.83/1,442.63
  6. Step 6: Final answer
    x = 777.57

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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.