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Finding the Fourth Proportional to 781.21, 1,077.69 and 466.27

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Solution

The fourth proportional to 781.21, 1,077.69 and 466.27 is: 643.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.21 : 1,077.69 = 466.27 : x
  2. Step 2: Convert to fraction form
    781.21/1,077.69 = 466.27/x
  3. Step 3: Cross multiply
    781.21x = 1,077.69 × 466.27
  4. Step 4: Simplify right side
    781.21x = 502,494.52
  5. Step 5: Solve for x
    x = 502,494.52/781.21
  6. Step 6: Final answer
    x = 643.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.