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Finding the Fourth Proportional to 822.03, 1,233.27 and 617.00

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Solution

The fourth proportional to 822.03, 1,233.27 and 617.00 is: 925.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.03 : 1,233.27 = 617.00 : x
  2. Step 2: Convert to fraction form
    822.03/1,233.27 = 617.00/x
  3. Step 3: Cross multiply
    822.03x = 1,233.27 × 617.00
  4. Step 4: Simplify right side
    822.03x = 760,921.42
  5. Step 5: Solve for x
    x = 760,921.42/822.03
  6. Step 6: Final answer
    x = 925.66

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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.