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Finding the Fourth Proportional to 1,514.50, 2,271.44 and 418.57

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Solution

The fourth proportional to 1,514.50, 2,271.44 and 418.57 is: 627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.50 : 2,271.44 = 418.57 : x
  2. Step 2: Convert to fraction form
    1,514.50/2,271.44 = 418.57/x
  3. Step 3: Cross multiply
    1,514.50x = 2,271.44 × 418.57
  4. Step 4: Simplify right side
    1,514.50x = 950,752.01
  5. Step 5: Solve for x
    x = 950,752.01/1,514.50
  6. Step 6: Final answer
    x = 627.77

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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.