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Finding the Fourth Proportional to 1,514, 2,270.46 and 539.84

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Solution

The fourth proportional to 1,514, 2,270.46 and 539.84 is: 809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514 : 2,270.46 = 539.84 : x
  2. Step 2: Convert to fraction form
    1,514/2,270.46 = 539.84/x
  3. Step 3: Cross multiply
    1,514x = 2,270.46 × 539.84
  4. Step 4: Simplify right side
    1,514x = 1,225,685.13
  5. Step 5: Solve for x
    x = 1,225,685.13/1,514
  6. Step 6: Final answer
    x = 809.57

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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.