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Finding the Fourth Proportional to 1,163.94, 1,744.70 and 514.59

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Solution

The fourth proportional to 1,163.94, 1,744.70 and 514.59 is: 771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.94 : 1,744.70 = 514.59 : x
  2. Step 2: Convert to fraction form
    1,163.94/1,744.70 = 514.59/x
  3. Step 3: Cross multiply
    1,163.94x = 1,744.70 × 514.59
  4. Step 4: Simplify right side
    1,163.94x = 897,802.60
  5. Step 5: Solve for x
    x = 897,802.60/1,163.94
  6. Step 6: Final answer
    x = 771.35

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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.