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Finding the Fourth Proportional to 793.09, 1,189.64 and 470.71

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Solution

The fourth proportional to 793.09, 1,189.64 and 470.71 is: 706.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.09 : 1,189.64 = 470.71 : x
  2. Step 2: Convert to fraction form
    793.09/1,189.64 = 470.71/x
  3. Step 3: Cross multiply
    793.09x = 1,189.64 × 470.71
  4. Step 4: Simplify right side
    793.09x = 559,975.44
  5. Step 5: Solve for x
    x = 559,975.44/793.09
  6. Step 6: Final answer
    x = 706.07

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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.