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Finding the Fourth Proportional to 827.07, 1,240.53 and 242.02

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Solution

The fourth proportional to 827.07, 1,240.53 and 242.02 is: 363.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.07 : 1,240.53 = 242.02 : x
  2. Step 2: Convert to fraction form
    827.07/1,240.53 = 242.02/x
  3. Step 3: Cross multiply
    827.07x = 1,240.53 × 242.02
  4. Step 4: Simplify right side
    827.07x = 300,233.07
  5. Step 5: Solve for x
    x = 300,233.07/827.07
  6. Step 6: Final answer
    x = 363.01

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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.