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Finding the Fourth Proportional to 815.84, 1,224.22 and 542.08

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Solution

The fourth proportional to 815.84, 1,224.22 and 542.08 is: 813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.84 : 1,224.22 = 542.08 : x
  2. Step 2: Convert to fraction form
    815.84/1,224.22 = 542.08/x
  3. Step 3: Cross multiply
    815.84x = 1,224.22 × 542.08
  4. Step 4: Simplify right side
    815.84x = 663,625.18
  5. Step 5: Solve for x
    x = 663,625.18/815.84
  6. Step 6: Final answer
    x = 813.43

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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.