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Finding the Fourth Proportional to 594.78, 892.17 and 580.38

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Solution

The fourth proportional to 594.78, 892.17 and 580.38 is: 870.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.78 : 892.17 = 580.38 : x
  2. Step 2: Convert to fraction form
    594.78/892.17 = 580.38/x
  3. Step 3: Cross multiply
    594.78x = 892.17 × 580.38
  4. Step 4: Simplify right side
    594.78x = 517,797.62
  5. Step 5: Solve for x
    x = 517,797.62/594.78
  6. Step 6: Final answer
    x = 870.57

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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.