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Finding the Fourth Proportional to 600.53, 899.66 and 522.56

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Solution

The fourth proportional to 600.53, 899.66 and 522.56 is: 782.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.53 : 899.66 = 522.56 : x
  2. Step 2: Convert to fraction form
    600.53/899.66 = 522.56/x
  3. Step 3: Cross multiply
    600.53x = 899.66 × 522.56
  4. Step 4: Simplify right side
    600.53x = 470,129.89
  5. Step 5: Solve for x
    x = 470,129.89/600.53
  6. Step 6: Final answer
    x = 782.86

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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.