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Finding the Fourth Proportional to 1,166.25, 1,749.81 and 541.84

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Solution

The fourth proportional to 1,166.25, 1,749.81 and 541.84 is: 812.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.25 : 1,749.81 = 541.84 : x
  2. Step 2: Convert to fraction form
    1,166.25/1,749.81 = 541.84/x
  3. Step 3: Cross multiply
    1,166.25x = 1,749.81 × 541.84
  4. Step 4: Simplify right side
    1,166.25x = 948,109.97
  5. Step 5: Solve for x
    x = 948,109.97/1,166.25
  6. Step 6: Final answer
    x = 812.95

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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.