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Finding the Fourth Proportional to 1,452.77, 2,178.83 and 412.75

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Solution

The fourth proportional to 1,452.77, 2,178.83 and 412.75 is: 619.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.77 : 2,178.83 = 412.75 : x
  2. Step 2: Convert to fraction form
    1,452.77/2,178.83 = 412.75/x
  3. Step 3: Cross multiply
    1,452.77x = 2,178.83 × 412.75
  4. Step 4: Simplify right side
    1,452.77x = 899,304.57
  5. Step 5: Solve for x
    x = 899,304.57/1,452.77
  6. Step 6: Final answer
    x = 619.03

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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.