Home / 1,166.27-1,749.25-472.94

Finding the Fourth Proportional to 1,166.27, 1,749.25 and 472.94

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Solution

The fourth proportional to 1,166.27, 1,749.25 and 472.94 is: 709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.27 : 1,749.25 = 472.94 : x
  2. Step 2: Convert to fraction form
    1,166.27/1,749.25 = 472.94/x
  3. Step 3: Cross multiply
    1,166.27x = 1,749.25 × 472.94
  4. Step 4: Simplify right side
    1,166.27x = 827,287.93
  5. Step 5: Solve for x
    x = 827,287.93/1,166.27
  6. Step 6: Final answer
    x = 709.35

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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.