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Finding the Fourth Proportional to 762.60, 1,141.74 and 517.80

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Solution

The fourth proportional to 762.60, 1,141.74 and 517.80 is: 775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.60 : 1,141.74 = 517.80 : x
  2. Step 2: Convert to fraction form
    762.60/1,141.74 = 517.80/x
  3. Step 3: Cross multiply
    762.60x = 1,141.74 × 517.80
  4. Step 4: Simplify right side
    762.60x = 591,192.97
  5. Step 5: Solve for x
    x = 591,192.97/762.60
  6. Step 6: Final answer
    x = 775.23

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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.