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Finding the Fourth Proportional to 839.85, 1,158.98 and 461.75

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Solution

The fourth proportional to 839.85, 1,158.98 and 461.75 is: 637.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.85 : 1,158.98 = 461.75 : x
  2. Step 2: Convert to fraction form
    839.85/1,158.98 = 461.75/x
  3. Step 3: Cross multiply
    839.85x = 1,158.98 × 461.75
  4. Step 4: Simplify right side
    839.85x = 535,160.03
  5. Step 5: Solve for x
    x = 535,160.03/839.85
  6. Step 6: Final answer
    x = 637.21

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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.