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Finding the Fourth Proportional to 646.22, 891.53 and 506.09

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Solution

The fourth proportional to 646.22, 891.53 and 506.09 is: 698.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.22 : 891.53 = 506.09 : x
  2. Step 2: Convert to fraction form
    646.22/891.53 = 506.09/x
  3. Step 3: Cross multiply
    646.22x = 891.53 × 506.09
  4. Step 4: Simplify right side
    646.22x = 451,194.42
  5. Step 5: Solve for x
    x = 451,194.42/646.22
  6. Step 6: Final answer
    x = 698.21

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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.