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Finding the Fourth Proportional to 1,245.42, 1,867.79 and 514.82

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Solution

The fourth proportional to 1,245.42, 1,867.79 and 514.82 is: 772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.42 : 1,867.79 = 514.82 : x
  2. Step 2: Convert to fraction form
    1,245.42/1,867.79 = 514.82/x
  3. Step 3: Cross multiply
    1,245.42x = 1,867.79 × 514.82
  4. Step 4: Simplify right side
    1,245.42x = 961,581.60
  5. Step 5: Solve for x
    x = 961,581.60/1,245.42
  6. Step 6: Final answer
    x = 772.09

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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.