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Finding the Fourth Proportional to 586.09, 878.40 and 512.79

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Solution

The fourth proportional to 586.09, 878.40 and 512.79 is: 768.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.09 : 878.40 = 512.79 : x
  2. Step 2: Convert to fraction form
    586.09/878.40 = 512.79/x
  3. Step 3: Cross multiply
    586.09x = 878.40 × 512.79
  4. Step 4: Simplify right side
    586.09x = 450,436.38
  5. Step 5: Solve for x
    x = 450,436.38/586.09
  6. Step 6: Final answer
    x = 768.54

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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.