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Finding the Fourth Proportional to 609.93, 916.62 and 593.12

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Solution

The fourth proportional to 609.93, 916.62 and 593.12 is: 891.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.93 : 916.62 = 593.12 : x
  2. Step 2: Convert to fraction form
    609.93/916.62 = 593.12/x
  3. Step 3: Cross multiply
    609.93x = 916.62 × 593.12
  4. Step 4: Simplify right side
    609.93x = 543,665.72
  5. Step 5: Solve for x
    x = 543,665.72/609.93
  6. Step 6: Final answer
    x = 891.36

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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.