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Finding the Fourth Proportional to 580.92, 796.26 and 572.82

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Solution

The fourth proportional to 580.92, 796.26 and 572.82 is: 785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.92 : 796.26 = 572.82 : x
  2. Step 2: Convert to fraction form
    580.92/796.26 = 572.82/x
  3. Step 3: Cross multiply
    580.92x = 796.26 × 572.82
  4. Step 4: Simplify right side
    580.92x = 456,113.65
  5. Step 5: Solve for x
    x = 456,113.65/580.92
  6. Step 6: Final answer
    x = 785.16

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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.