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Finding the Fourth Proportional to 859.24, 1,184.34 and 596.80

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Solution

The fourth proportional to 859.24, 1,184.34 and 596.80 is: 822.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.24 : 1,184.34 = 596.80 : x
  2. Step 2: Convert to fraction form
    859.24/1,184.34 = 596.80/x
  3. Step 3: Cross multiply
    859.24x = 1,184.34 × 596.80
  4. Step 4: Simplify right side
    859.24x = 706,814.11
  5. Step 5: Solve for x
    x = 706,814.11/859.24
  6. Step 6: Final answer
    x = 822.60

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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.