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Finding the Fourth Proportional to 648.12, 893.76 and 523.68

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Solution

The fourth proportional to 648.12, 893.76 and 523.68 is: 722.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.12 : 893.76 = 523.68 : x
  2. Step 2: Convert to fraction form
    648.12/893.76 = 523.68/x
  3. Step 3: Cross multiply
    648.12x = 893.76 × 523.68
  4. Step 4: Simplify right side
    648.12x = 468,044.24
  5. Step 5: Solve for x
    x = 468,044.24/648.12
  6. Step 6: Final answer
    x = 722.16

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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.