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Finding the Fourth Proportional to 646.74, 893.21 and 523.74

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Solution

The fourth proportional to 646.74, 893.21 and 523.74 is: 723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.74 : 893.21 = 523.74 : x
  2. Step 2: Convert to fraction form
    646.74/893.21 = 523.74/x
  3. Step 3: Cross multiply
    646.74x = 893.21 × 523.74
  4. Step 4: Simplify right side
    646.74x = 467,809.81
  5. Step 5: Solve for x
    x = 467,809.81/646.74
  6. Step 6: Final answer
    x = 723.34

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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.