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Finding the Fourth Proportional to 822.02, 1,233.61 and 617.14

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Solution

The fourth proportional to 822.02, 1,233.61 and 617.14 is: 926.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.02 : 1,233.61 = 617.14 : x
  2. Step 2: Convert to fraction form
    822.02/1,233.61 = 617.14/x
  3. Step 3: Cross multiply
    822.02x = 1,233.61 × 617.14
  4. Step 4: Simplify right side
    822.02x = 761,306.61
  5. Step 5: Solve for x
    x = 761,306.61/822.02
  6. Step 6: Final answer
    x = 926.15

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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.