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Finding the Fourth Proportional to 781.75, 1,169.74 and 551.21

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Solution

The fourth proportional to 781.75, 1,169.74 and 551.21 is: 824.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.75 : 1,169.74 = 551.21 : x
  2. Step 2: Convert to fraction form
    781.75/1,169.74 = 551.21/x
  3. Step 3: Cross multiply
    781.75x = 1,169.74 × 551.21
  4. Step 4: Simplify right side
    781.75x = 644,767.23
  5. Step 5: Solve for x
    x = 644,767.23/781.75
  6. Step 6: Final answer
    x = 824.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.