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Finding the Fourth Proportional to 1,077.52, 1,616.37 and 419.38

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Solution

The fourth proportional to 1,077.52, 1,616.37 and 419.38 is: 629.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.52 : 1,616.37 = 419.38 : x
  2. Step 2: Convert to fraction form
    1,077.52/1,616.37 = 419.38/x
  3. Step 3: Cross multiply
    1,077.52x = 1,616.37 × 419.38
  4. Step 4: Simplify right side
    1,077.52x = 677,873.25
  5. Step 5: Solve for x
    x = 677,873.25/1,077.52
  6. Step 6: Final answer
    x = 629.11

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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.