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Finding the Fourth Proportional to 780.92, 1,169.26 and 472.36

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Solution

The fourth proportional to 780.92, 1,169.26 and 472.36 is: 707.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.92 : 1,169.26 = 472.36 : x
  2. Step 2: Convert to fraction form
    780.92/1,169.26 = 472.36/x
  3. Step 3: Cross multiply
    780.92x = 1,169.26 × 472.36
  4. Step 4: Simplify right side
    780.92x = 552,311.65
  5. Step 5: Solve for x
    x = 552,311.65/780.92
  6. Step 6: Final answer
    x = 707.26

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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.