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Finding the Fourth Proportional to 664.96, 912.80 and 572.80

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Solution

The fourth proportional to 664.96, 912.80 and 572.80 is: 786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.96 : 912.80 = 572.80 : x
  2. Step 2: Convert to fraction form
    664.96/912.80 = 572.80/x
  3. Step 3: Cross multiply
    664.96x = 912.80 × 572.80
  4. Step 4: Simplify right side
    664.96x = 522,851.84
  5. Step 5: Solve for x
    x = 522,851.84/664.96
  6. Step 6: Final answer
    x = 786.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.