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Finding the Fourth Proportional to 605.82, 902.46 and 587.67

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Solution

The fourth proportional to 605.82, 902.46 and 587.67 is: 875.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.82 : 902.46 = 587.67 : x
  2. Step 2: Convert to fraction form
    605.82/902.46 = 587.67/x
  3. Step 3: Cross multiply
    605.82x = 902.46 × 587.67
  4. Step 4: Simplify right side
    605.82x = 530,348.67
  5. Step 5: Solve for x
    x = 530,348.67/605.82
  6. Step 6: Final answer
    x = 875.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.