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Finding the Fourth Proportional to 611.79, 913.84 and 514.59

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Solution

The fourth proportional to 611.79, 913.84 and 514.59 is: 768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.79 : 913.84 = 514.59 : x
  2. Step 2: Convert to fraction form
    611.79/913.84 = 514.59/x
  3. Step 3: Cross multiply
    611.79x = 913.84 × 514.59
  4. Step 4: Simplify right side
    611.79x = 470,251.64
  5. Step 5: Solve for x
    x = 470,251.64/611.79
  6. Step 6: Final answer
    x = 768.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.