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Finding the Fourth Proportional to 1,452.80, 2,178.77 and 412.89

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Solution

The fourth proportional to 1,452.80, 2,178.77 and 412.89 is: 619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.80 : 2,178.77 = 412.89 : x
  2. Step 2: Convert to fraction form
    1,452.80/2,178.77 = 412.89/x
  3. Step 3: Cross multiply
    1,452.80x = 2,178.77 × 412.89
  4. Step 4: Simplify right side
    1,452.80x = 899,590.28
  5. Step 5: Solve for x
    x = 899,590.28/1,452.80
  6. Step 6: Final answer
    x = 619.21

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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.