Home / 1,163.68-1,746.20-470.65

Finding the Fourth Proportional to 1,163.68, 1,746.20 and 470.65

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Solution

The fourth proportional to 1,163.68, 1,746.20 and 470.65 is: 706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.68 : 1,746.20 = 470.65 : x
  2. Step 2: Convert to fraction form
    1,163.68/1,746.20 = 470.65/x
  3. Step 3: Cross multiply
    1,163.68x = 1,746.20 × 470.65
  4. Step 4: Simplify right side
    1,163.68x = 821,849.03
  5. Step 5: Solve for x
    x = 821,849.03/1,163.68
  6. Step 6: Final answer
    x = 706.25

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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.