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Finding the Fourth Proportional to 591.72, 892.08 and 586.84

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Solution

The fourth proportional to 591.72, 892.08 and 586.84 is: 884.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.72 : 892.08 = 586.84 : x
  2. Step 2: Convert to fraction form
    591.72/892.08 = 586.84/x
  3. Step 3: Cross multiply
    591.72x = 892.08 × 586.84
  4. Step 4: Simplify right side
    591.72x = 523,508.23
  5. Step 5: Solve for x
    x = 523,508.23/591.72
  6. Step 6: Final answer
    x = 884.72

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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.