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Finding the Fourth Proportional to 1,514.25, 2,271.83 and 682

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Solution

The fourth proportional to 1,514.25, 2,271.83 and 682 is: 1,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.25 : 2,271.83 = 682 : x
  2. Step 2: Convert to fraction form
    1,514.25/2,271.83 = 682/x
  3. Step 3: Cross multiply
    1,514.25x = 2,271.83 × 682
  4. Step 4: Simplify right side
    1,514.25x = 1,549,388.06
  5. Step 5: Solve for x
    x = 1,549,388.06/1,514.25
  6. Step 6: Final answer
    x = 1,023.20

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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.