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Finding the Fourth Proportional to 778.14, 1,164.33 and 470.22

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Solution

The fourth proportional to 778.14, 1,164.33 and 470.22 is: 703.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.14 : 1,164.33 = 470.22 : x
  2. Step 2: Convert to fraction form
    778.14/1,164.33 = 470.22/x
  3. Step 3: Cross multiply
    778.14x = 1,164.33 × 470.22
  4. Step 4: Simplify right side
    778.14x = 547,491.25
  5. Step 5: Solve for x
    x = 547,491.25/778.14
  6. Step 6: Final answer
    x = 703.59

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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.