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Finding the Fourth Proportional to 619.92, 854.04 and 514.56

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Solution

The fourth proportional to 619.92, 854.04 and 514.56 is: 708.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.92 : 854.04 = 514.56 : x
  2. Step 2: Convert to fraction form
    619.92/854.04 = 514.56/x
  3. Step 3: Cross multiply
    619.92x = 854.04 × 514.56
  4. Step 4: Simplify right side
    619.92x = 439,454.82
  5. Step 5: Solve for x
    x = 439,454.82/619.92
  6. Step 6: Final answer
    x = 708.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.