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Finding the Fourth Proportional to 762.87, 1,053.63 and 513.76

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Solution

The fourth proportional to 762.87, 1,053.63 and 513.76 is: 709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.87 : 1,053.63 = 513.76 : x
  2. Step 2: Convert to fraction form
    762.87/1,053.63 = 513.76/x
  3. Step 3: Cross multiply
    762.87x = 1,053.63 × 513.76
  4. Step 4: Simplify right side
    762.87x = 541,310.85
  5. Step 5: Solve for x
    x = 541,310.85/762.87
  6. Step 6: Final answer
    x = 709.57

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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.