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Finding the Fourth Proportional to 1,442.56, 2,164.16 and 518.72

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Solution

The fourth proportional to 1,442.56, 2,164.16 and 518.72 is: 778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.56 : 2,164.16 = 518.72 : x
  2. Step 2: Convert to fraction form
    1,442.56/2,164.16 = 518.72/x
  3. Step 3: Cross multiply
    1,442.56x = 2,164.16 × 518.72
  4. Step 4: Simplify right side
    1,442.56x = 1,122,593.08
  5. Step 5: Solve for x
    x = 1,122,593.08/1,442.56
  6. Step 6: Final answer
    x = 778.20

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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.