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Finding the Fourth Proportional to 1,245.30, 1,867.84 and 514.88

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Solution

The fourth proportional to 1,245.30, 1,867.84 and 514.88 is: 772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.30 : 1,867.84 = 514.88 : x
  2. Step 2: Convert to fraction form
    1,245.30/1,867.84 = 514.88/x
  3. Step 3: Cross multiply
    1,245.30x = 1,867.84 × 514.88
  4. Step 4: Simplify right side
    1,245.30x = 961,713.46
  5. Step 5: Solve for x
    x = 961,713.46/1,245.30
  6. Step 6: Final answer
    x = 772.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.