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Finding the Fourth Proportional to 780.24, 1,169.97 and 414.93

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Solution

The fourth proportional to 780.24, 1,169.97 and 414.93 is: 622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.24 : 1,169.97 = 414.93 : x
  2. Step 2: Convert to fraction form
    780.24/1,169.97 = 414.93/x
  3. Step 3: Cross multiply
    780.24x = 1,169.97 × 414.93
  4. Step 4: Simplify right side
    780.24x = 485,455.65
  5. Step 5: Solve for x
    x = 485,455.65/780.24
  6. Step 6: Final answer
    x = 622.19

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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.