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Finding the Fourth Proportional to 610.54, 914.44 and 596.87

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Solution

The fourth proportional to 610.54, 914.44 and 596.87 is: 893.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.54 : 914.44 = 596.87 : x
  2. Step 2: Convert to fraction form
    610.54/914.44 = 596.87/x
  3. Step 3: Cross multiply
    610.54x = 914.44 × 596.87
  4. Step 4: Simplify right side
    610.54x = 545,801.80
  5. Step 5: Solve for x
    x = 545,801.80/610.54
  6. Step 6: Final answer
    x = 893.97

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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.