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Finding the Fourth Proportional to 862.12, 1,190.16 and 583.82

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Solution

The fourth proportional to 862.12, 1,190.16 and 583.82 is: 805.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.12 : 1,190.16 = 583.82 : x
  2. Step 2: Convert to fraction form
    862.12/1,190.16 = 583.82/x
  3. Step 3: Cross multiply
    862.12x = 1,190.16 × 583.82
  4. Step 4: Simplify right side
    862.12x = 694,830.34
  5. Step 5: Solve for x
    x = 694,830.34/862.12
  6. Step 6: Final answer
    x = 805.96

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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.