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Finding the Fourth Proportional to 762.27, 1,050.96 and 513.42

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Solution

The fourth proportional to 762.27, 1,050.96 and 513.42 is: 707.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.27 : 1,050.96 = 513.42 : x
  2. Step 2: Convert to fraction form
    762.27/1,050.96 = 513.42/x
  3. Step 3: Cross multiply
    762.27x = 1,050.96 × 513.42
  4. Step 4: Simplify right side
    762.27x = 539,583.88
  5. Step 5: Solve for x
    x = 539,583.88/762.27
  6. Step 6: Final answer
    x = 707.86

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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.