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Finding the Fourth Proportional to 580.77, 866.60 and 519.48

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Solution

The fourth proportional to 580.77, 866.60 and 519.48 is: 775.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.77 : 866.60 = 519.48 : x
  2. Step 2: Convert to fraction form
    580.77/866.60 = 519.48/x
  3. Step 3: Cross multiply
    580.77x = 866.60 × 519.48
  4. Step 4: Simplify right side
    580.77x = 450,180.72
  5. Step 5: Solve for x
    x = 450,180.72/580.77
  6. Step 6: Final answer
    x = 775.14

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Why These Related Problems?

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