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Finding the Fourth Proportional to 581.92, 797.63 and 573.82

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Solution

The fourth proportional to 581.92, 797.63 and 573.82 is: 786.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.92 : 797.63 = 573.82 : x
  2. Step 2: Convert to fraction form
    581.92/797.63 = 573.82/x
  3. Step 3: Cross multiply
    581.92x = 797.63 × 573.82
  4. Step 4: Simplify right side
    581.92x = 457,696.05
  5. Step 5: Solve for x
    x = 457,696.05/581.92
  6. Step 6: Final answer
    x = 786.53

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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.