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Finding the Fourth Proportional to 822.17, 1,233.47 and 763.36

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Solution

The fourth proportional to 822.17, 1,233.47 and 763.36 is: 1,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.17 : 1,233.47 = 763.36 : x
  2. Step 2: Convert to fraction form
    822.17/1,233.47 = 763.36/x
  3. Step 3: Cross multiply
    822.17x = 1,233.47 × 763.36
  4. Step 4: Simplify right side
    822.17x = 941,580.48
  5. Step 5: Solve for x
    x = 941,580.48/822.17
  6. Step 6: Final answer
    x = 1,145.23

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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.