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Finding the Fourth Proportional to 580.32, 869.58 and 519.12

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Solution

The fourth proportional to 580.32, 869.58 and 519.12 is: 777.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.32 : 869.58 = 519.12 : x
  2. Step 2: Convert to fraction form
    580.32/869.58 = 519.12/x
  3. Step 3: Cross multiply
    580.32x = 869.58 × 519.12
  4. Step 4: Simplify right side
    580.32x = 451,416.37
  5. Step 5: Solve for x
    x = 451,416.37/580.32
  6. Step 6: Final answer
    x = 777.87

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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.