Home / 1,167.32-1,749.46-473.18

Finding the Fourth Proportional to 1,167.32, 1,749.46 and 473.18

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Solution

The fourth proportional to 1,167.32, 1,749.46 and 473.18 is: 709.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.32 : 1,749.46 = 473.18 : x
  2. Step 2: Convert to fraction form
    1,167.32/1,749.46 = 473.18/x
  3. Step 3: Cross multiply
    1,167.32x = 1,749.46 × 473.18
  4. Step 4: Simplify right side
    1,167.32x = 827,801.92
  5. Step 5: Solve for x
    x = 827,801.92/1,167.32
  6. Step 6: Final answer
    x = 709.15

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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.