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Finding the Fourth Proportional to 757.89, 1,136.83 and 210.06

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Solution

The fourth proportional to 757.89, 1,136.83 and 210.06 is: 315.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.89 : 1,136.83 = 210.06 : x
  2. Step 2: Convert to fraction form
    757.89/1,136.83 = 210.06/x
  3. Step 3: Cross multiply
    757.89x = 1,136.83 × 210.06
  4. Step 4: Simplify right side
    757.89x = 238,796.83
  5. Step 5: Solve for x
    x = 238,796.83/757.89
  6. Step 6: Final answer
    x = 315.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.