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Finding the Fourth Proportional to 839.36, 1,157.69 and 590.42

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Solution

The fourth proportional to 839.36, 1,157.69 and 590.42 is: 814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.36 : 1,157.69 = 590.42 : x
  2. Step 2: Convert to fraction form
    839.36/1,157.69 = 590.42/x
  3. Step 3: Cross multiply
    839.36x = 1,157.69 × 590.42
  4. Step 4: Simplify right side
    839.36x = 683,527.70
  5. Step 5: Solve for x
    x = 683,527.70/839.36
  6. Step 6: Final answer
    x = 814.34

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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.