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Finding the Fourth Proportional to 818.62, 1,225.26 and 541.06

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Solution

The fourth proportional to 818.62, 1,225.26 and 541.06 is: 809.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.62 : 1,225.26 = 541.06 : x
  2. Step 2: Convert to fraction form
    818.62/1,225.26 = 541.06/x
  3. Step 3: Cross multiply
    818.62x = 1,225.26 × 541.06
  4. Step 4: Simplify right side
    818.62x = 662,936.11
  5. Step 5: Solve for x
    x = 662,936.11/818.62
  6. Step 6: Final answer
    x = 809.82

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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.