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Finding the Fourth Proportional to 822.13, 1,230.75 and 496.51

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Solution

The fourth proportional to 822.13, 1,230.75 and 496.51 is: 743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.13 : 1,230.75 = 496.51 : x
  2. Step 2: Convert to fraction form
    822.13/1,230.75 = 496.51/x
  3. Step 3: Cross multiply
    822.13x = 1,230.75 × 496.51
  4. Step 4: Simplify right side
    822.13x = 611,079.68
  5. Step 5: Solve for x
    x = 611,079.68/822.13
  6. Step 6: Final answer
    x = 743.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.