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Finding the Fourth Proportional to 600.95, 823.89 and 590.01

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Solution

The fourth proportional to 600.95, 823.89 and 590.01 is: 808.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.95 : 823.89 = 590.01 : x
  2. Step 2: Convert to fraction form
    600.95/823.89 = 590.01/x
  3. Step 3: Cross multiply
    600.95x = 823.89 × 590.01
  4. Step 4: Simplify right side
    600.95x = 486,103.34
  5. Step 5: Solve for x
    x = 486,103.34/600.95
  6. Step 6: Final answer
    x = 808.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.