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Finding the Fourth Proportional to 614.88, 849 and 595.23

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Solution

The fourth proportional to 614.88, 849 and 595.23 is: 821.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.88 : 849 = 595.23 : x
  2. Step 2: Convert to fraction form
    614.88/849 = 595.23/x
  3. Step 3: Cross multiply
    614.88x = 849 × 595.23
  4. Step 4: Simplify right side
    614.88x = 505,350.27
  5. Step 5: Solve for x
    x = 505,350.27/614.88
  6. Step 6: Final answer
    x = 821.87

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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.