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Finding the Fourth Proportional to 839.05, 1,158.99 and 644.96

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Solution

The fourth proportional to 839.05, 1,158.99 and 644.96 is: 890.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.05 : 1,158.99 = 644.96 : x
  2. Step 2: Convert to fraction form
    839.05/1,158.99 = 644.96/x
  3. Step 3: Cross multiply
    839.05x = 1,158.99 × 644.96
  4. Step 4: Simplify right side
    839.05x = 747,502.19
  5. Step 5: Solve for x
    x = 747,502.19/839.05
  6. Step 6: Final answer
    x = 890.89

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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.