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Finding the Fourth Proportional to 762.08, 1,143.20 and 299.77

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Solution

The fourth proportional to 762.08, 1,143.20 and 299.77 is: 449.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.08 : 1,143.20 = 299.77 : x
  2. Step 2: Convert to fraction form
    762.08/1,143.20 = 299.77/x
  3. Step 3: Cross multiply
    762.08x = 1,143.20 × 299.77
  4. Step 4: Simplify right side
    762.08x = 342,694.96
  5. Step 5: Solve for x
    x = 342,694.96/762.08
  6. Step 6: Final answer
    x = 449.69

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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.