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Finding the Fourth Proportional to 1,442.83, 2,164.08 and 518.30

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Solution

The fourth proportional to 1,442.83, 2,164.08 and 518.30 is: 777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.83 : 2,164.08 = 518.30 : x
  2. Step 2: Convert to fraction form
    1,442.83/2,164.08 = 518.30/x
  3. Step 3: Cross multiply
    1,442.83x = 2,164.08 × 518.30
  4. Step 4: Simplify right side
    1,442.83x = 1,121,641.90
  5. Step 5: Solve for x
    x = 1,121,641.90/1,442.83
  6. Step 6: Final answer
    x = 777.39

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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.