Home / 1,166.06-1,749.60-473.22

Finding the Fourth Proportional to 1,166.06, 1,749.60 and 473.22

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Solution

The fourth proportional to 1,166.06, 1,749.60 and 473.22 is: 710.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.06 : 1,749.60 = 473.22 : x
  2. Step 2: Convert to fraction form
    1,166.06/1,749.60 = 473.22/x
  3. Step 3: Cross multiply
    1,166.06x = 1,749.60 × 473.22
  4. Step 4: Simplify right side
    1,166.06x = 827,945.71
  5. Step 5: Solve for x
    x = 827,945.71/1,166.06
  6. Step 6: Final answer
    x = 710.04

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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.