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Finding the Fourth Proportional to 610.95, 917.64 and 596.37

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Solution

The fourth proportional to 610.95, 917.64 and 596.37 is: 895.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.95 : 917.64 = 596.37 : x
  2. Step 2: Convert to fraction form
    610.95/917.64 = 596.37/x
  3. Step 3: Cross multiply
    610.95x = 917.64 × 596.37
  4. Step 4: Simplify right side
    610.95x = 547,252.97
  5. Step 5: Solve for x
    x = 547,252.97/610.95
  6. Step 6: Final answer
    x = 895.74

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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.