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Finding the Fourth Proportional to 769.50, 1,062.09 and 507.78

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Solution

The fourth proportional to 769.50, 1,062.09 and 507.78 is: 700.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.50 : 1,062.09 = 507.78 : x
  2. Step 2: Convert to fraction form
    769.50/1,062.09 = 507.78/x
  3. Step 3: Cross multiply
    769.50x = 1,062.09 × 507.78
  4. Step 4: Simplify right side
    769.50x = 539,308.06
  5. Step 5: Solve for x
    x = 539,308.06/769.50
  6. Step 6: Final answer
    x = 700.86

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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.