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Finding the Fourth Proportional to 816.84, 1,224.70 and 542.24

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Solution

The fourth proportional to 816.84, 1,224.70 and 542.24 is: 812.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.84 : 1,224.70 = 542.24 : x
  2. Step 2: Convert to fraction form
    816.84/1,224.70 = 542.24/x
  3. Step 3: Cross multiply
    816.84x = 1,224.70 × 542.24
  4. Step 4: Simplify right side
    816.84x = 664,081.33
  5. Step 5: Solve for x
    x = 664,081.33/816.84
  6. Step 6: Final answer
    x = 812.99

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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.