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Finding the Fourth Proportional to 614.34, 846.96 and 595.23

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Solution

The fourth proportional to 614.34, 846.96 and 595.23 is: 820.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.34 : 846.96 = 595.23 : x
  2. Step 2: Convert to fraction form
    614.34/846.96 = 595.23/x
  3. Step 3: Cross multiply
    614.34x = 846.96 × 595.23
  4. Step 4: Simplify right side
    614.34x = 504,136.00
  5. Step 5: Solve for x
    x = 504,136.00/614.34
  6. Step 6: Final answer
    x = 820.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.