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Finding the Fourth Proportional to 1,207.29, 1,811.18 and 513.95

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Solution

The fourth proportional to 1,207.29, 1,811.18 and 513.95 is: 771.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.29 : 1,811.18 = 513.95 : x
  2. Step 2: Convert to fraction form
    1,207.29/1,811.18 = 513.95/x
  3. Step 3: Cross multiply
    1,207.29x = 1,811.18 × 513.95
  4. Step 4: Simplify right side
    1,207.29x = 930,857.92
  5. Step 5: Solve for x
    x = 930,857.92/1,207.29
  6. Step 6: Final answer
    x = 771.03

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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.