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Finding the Fourth Proportional to 1,452.05, 2,178.31 and 477.82

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Solution

The fourth proportional to 1,452.05, 2,178.31 and 477.82 is: 716.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.05 : 2,178.31 = 477.82 : x
  2. Step 2: Convert to fraction form
    1,452.05/2,178.31 = 477.82/x
  3. Step 3: Cross multiply
    1,452.05x = 2,178.31 × 477.82
  4. Step 4: Simplify right side
    1,452.05x = 1,040,840.08
  5. Step 5: Solve for x
    x = 1,040,840.08/1,452.05
  6. Step 6: Final answer
    x = 716.81

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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.