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Finding the Fourth Proportional to 595.87, 892.41 and 579.47

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Solution

The fourth proportional to 595.87, 892.41 and 579.47 is: 867.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.87 : 892.41 = 579.47 : x
  2. Step 2: Convert to fraction form
    595.87/892.41 = 579.47/x
  3. Step 3: Cross multiply
    595.87x = 892.41 × 579.47
  4. Step 4: Simplify right side
    595.87x = 517,124.82
  5. Step 5: Solve for x
    x = 517,124.82/595.87
  6. Step 6: Final answer
    x = 867.86

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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.