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Finding the Fourth Proportional to 578.92, 793.52 and 570.82

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Solution

The fourth proportional to 578.92, 793.52 and 570.82 is: 782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.92 : 793.52 = 570.82 : x
  2. Step 2: Convert to fraction form
    578.92/793.52 = 570.82/x
  3. Step 3: Cross multiply
    578.92x = 793.52 × 570.82
  4. Step 4: Simplify right side
    578.92x = 452,957.09
  5. Step 5: Solve for x
    x = 452,957.09/578.92
  6. Step 6: Final answer
    x = 782.42

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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.