Home / 1,166.43-1,749.60-473.08

Finding the Fourth Proportional to 1,166.43, 1,749.60 and 473.08

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Solution

The fourth proportional to 1,166.43, 1,749.60 and 473.08 is: 709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.43 : 1,749.60 = 473.08 : x
  2. Step 2: Convert to fraction form
    1,166.43/1,749.60 = 473.08/x
  3. Step 3: Cross multiply
    1,166.43x = 1,749.60 × 473.08
  4. Step 4: Simplify right side
    1,166.43x = 827,696.08
  5. Step 5: Solve for x
    x = 827,696.08/1,166.43
  6. Step 6: Final answer
    x = 709.60

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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.