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Finding the Fourth Proportional to 780.51, 1,169.72 and 414.51

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Solution

The fourth proportional to 780.51, 1,169.72 and 414.51 is: 621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.51 : 1,169.72 = 414.51 : x
  2. Step 2: Convert to fraction form
    780.51/1,169.72 = 414.51/x
  3. Step 3: Cross multiply
    780.51x = 1,169.72 × 414.51
  4. Step 4: Simplify right side
    780.51x = 484,854.79
  5. Step 5: Solve for x
    x = 484,854.79/780.51
  6. Step 6: Final answer
    x = 621.21

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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.