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Finding the Fourth Proportional to 822.48, 1,233.93 and 731.88

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Solution

The fourth proportional to 822.48, 1,233.93 and 731.88 is: 1,098.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.48 : 1,233.93 = 731.88 : x
  2. Step 2: Convert to fraction form
    822.48/1,233.93 = 731.88/x
  3. Step 3: Cross multiply
    822.48x = 1,233.93 × 731.88
  4. Step 4: Simplify right side
    822.48x = 903,088.69
  5. Step 5: Solve for x
    x = 903,088.69/822.48
  6. Step 6: Final answer
    x = 1,098.01

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