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Finding the Fourth Proportional to 823.53, 1,233.66 and 548.13

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Solution

The fourth proportional to 823.53, 1,233.66 and 548.13 is: 821.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.53 : 1,233.66 = 548.13 : x
  2. Step 2: Convert to fraction form
    823.53/1,233.66 = 548.13/x
  3. Step 3: Cross multiply
    823.53x = 1,233.66 × 548.13
  4. Step 4: Simplify right side
    823.53x = 676,206.06
  5. Step 5: Solve for x
    x = 676,206.06/823.53
  6. Step 6: Final answer
    x = 821.11

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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.