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Finding the Fourth Proportional to 816.07, 1,222.41 and 542.29

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Solution

The fourth proportional to 816.07, 1,222.41 and 542.29 is: 812.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.07 : 1,222.41 = 542.29 : x
  2. Step 2: Convert to fraction form
    816.07/1,222.41 = 542.29/x
  3. Step 3: Cross multiply
    816.07x = 1,222.41 × 542.29
  4. Step 4: Simplify right side
    816.07x = 662,899.70
  5. Step 5: Solve for x
    x = 662,899.70/816.07
  6. Step 6: Final answer
    x = 812.31

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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.