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Finding the Fourth Proportional to 572.06, 788.87 and 513.95

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Solution

The fourth proportional to 572.06, 788.87 and 513.95 is: 708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.06 : 788.87 = 513.95 : x
  2. Step 2: Convert to fraction form
    572.06/788.87 = 513.95/x
  3. Step 3: Cross multiply
    572.06x = 788.87 × 513.95
  4. Step 4: Simplify right side
    572.06x = 405,433.22
  5. Step 5: Solve for x
    x = 405,433.22/572.06
  6. Step 6: Final answer
    x = 708.73

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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.