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Finding the Fourth Proportional to 591.52, 892.44 and 589.92

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Solution

The fourth proportional to 591.52, 892.44 and 589.92 is: 890.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.52 : 892.44 = 589.92 : x
  2. Step 2: Convert to fraction form
    591.52/892.44 = 589.92/x
  3. Step 3: Cross multiply
    591.52x = 892.44 × 589.92
  4. Step 4: Simplify right side
    591.52x = 526,468.20
  5. Step 5: Solve for x
    x = 526,468.20/591.52
  6. Step 6: Final answer
    x = 890.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.