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Finding the Fourth Proportional to 615.81, 927.19 and 543.14

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Solution

The fourth proportional to 615.81, 927.19 and 543.14 is: 817.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.81 : 927.19 = 543.14 : x
  2. Step 2: Convert to fraction form
    615.81/927.19 = 543.14/x
  3. Step 3: Cross multiply
    615.81x = 927.19 × 543.14
  4. Step 4: Simplify right side
    615.81x = 503,591.21
  5. Step 5: Solve for x
    x = 503,591.21/615.81
  6. Step 6: Final answer
    x = 817.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.