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Finding the Fourth Proportional to 781.26, 1,169.97 and 455.64

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Solution

The fourth proportional to 781.26, 1,169.97 and 455.64 is: 682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.26 : 1,169.97 = 455.64 : x
  2. Step 2: Convert to fraction form
    781.26/1,169.97 = 455.64/x
  3. Step 3: Cross multiply
    781.26x = 1,169.97 × 455.64
  4. Step 4: Simplify right side
    781.26x = 533,085.13
  5. Step 5: Solve for x
    x = 533,085.13/781.26
  6. Step 6: Final answer
    x = 682.34

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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.