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Finding the Fourth Proportional to 832.09, 1,147.95 and 596.05

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Solution

The fourth proportional to 832.09, 1,147.95 and 596.05 is: 822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.09 : 1,147.95 = 596.05 : x
  2. Step 2: Convert to fraction form
    832.09/1,147.95 = 596.05/x
  3. Step 3: Cross multiply
    832.09x = 1,147.95 × 596.05
  4. Step 4: Simplify right side
    832.09x = 684,235.60
  5. Step 5: Solve for x
    x = 684,235.60/832.09
  6. Step 6: Final answer
    x = 822.31

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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.