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Finding the Fourth Proportional to 583.95, 805.38 and 513.86

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Solution

The fourth proportional to 583.95, 805.38 and 513.86 is: 708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.95 : 805.38 = 513.86 : x
  2. Step 2: Convert to fraction form
    583.95/805.38 = 513.86/x
  3. Step 3: Cross multiply
    583.95x = 805.38 × 513.86
  4. Step 4: Simplify right side
    583.95x = 413,848.54
  5. Step 5: Solve for x
    x = 413,848.54/583.95
  6. Step 6: Final answer
    x = 708.71

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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.