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Finding the Fourth Proportional to 579.95, 800.07 and 513.63

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Solution

The fourth proportional to 579.95, 800.07 and 513.63 is: 708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.95 : 800.07 = 513.63 : x
  2. Step 2: Convert to fraction form
    579.95/800.07 = 513.63/x
  3. Step 3: Cross multiply
    579.95x = 800.07 × 513.63
  4. Step 4: Simplify right side
    579.95x = 410,937.39
  5. Step 5: Solve for x
    x = 410,937.39/579.95
  6. Step 6: Final answer
    x = 708.57

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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.