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Finding the Fourth Proportional to 600.89, 899.57 and 580.16

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Solution

The fourth proportional to 600.89, 899.57 and 580.16 is: 868.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.89 : 899.57 = 580.16 : x
  2. Step 2: Convert to fraction form
    600.89/899.57 = 580.16/x
  3. Step 3: Cross multiply
    600.89x = 899.57 × 580.16
  4. Step 4: Simplify right side
    600.89x = 521,898.23
  5. Step 5: Solve for x
    x = 521,898.23/600.89
  6. Step 6: Final answer
    x = 868.55

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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.