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Finding the Fourth Proportional to 816.93, 1,224.72 and 542.34

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Solution

The fourth proportional to 816.93, 1,224.72 and 542.34 is: 813.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.93 : 1,224.72 = 542.34 : x
  2. Step 2: Convert to fraction form
    816.93/1,224.72 = 542.34/x
  3. Step 3: Cross multiply
    816.93x = 1,224.72 × 542.34
  4. Step 4: Simplify right side
    816.93x = 664,214.64
  5. Step 5: Solve for x
    x = 664,214.64/816.93
  6. Step 6: Final answer
    x = 813.06

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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.