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Finding the Fourth Proportional to 757.86, 1,136.78 and 210.05

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Solution

The fourth proportional to 757.86, 1,136.78 and 210.05 is: 315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.86 : 1,136.78 = 210.05 : x
  2. Step 2: Convert to fraction form
    757.86/1,136.78 = 210.05/x
  3. Step 3: Cross multiply
    757.86x = 1,136.78 × 210.05
  4. Step 4: Simplify right side
    757.86x = 238,775.48
  5. Step 5: Solve for x
    x = 238,775.48/757.86
  6. Step 6: Final answer
    x = 315.07

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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.