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Finding the Fourth Proportional to 818.24, 1,224.70 and 540.68

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Solution

The fourth proportional to 818.24, 1,224.70 and 540.68 is: 809.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.24 : 1,224.70 = 540.68 : x
  2. Step 2: Convert to fraction form
    818.24/1,224.70 = 540.68/x
  3. Step 3: Cross multiply
    818.24x = 1,224.70 × 540.68
  4. Step 4: Simplify right side
    818.24x = 662,172.51
  5. Step 5: Solve for x
    x = 662,172.51/818.24
  6. Step 6: Final answer
    x = 809.26

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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.