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Finding the Fourth Proportional to 822.33, 1,135.22 and 603

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Solution

The fourth proportional to 822.33, 1,135.22 and 603 is: 832.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.33 : 1,135.22 = 603 : x
  2. Step 2: Convert to fraction form
    822.33/1,135.22 = 603/x
  3. Step 3: Cross multiply
    822.33x = 1,135.22 × 603
  4. Step 4: Simplify right side
    822.33x = 684,534.65
  5. Step 5: Solve for x
    x = 684,534.65/822.33
  6. Step 6: Final answer
    x = 832.43

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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.