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Finding the Fourth Proportional to 761.63, 1,142.96 and 299.41

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Solution

The fourth proportional to 761.63, 1,142.96 and 299.41 is: 449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.63 : 1,142.96 = 299.41 : x
  2. Step 2: Convert to fraction form
    761.63/1,142.96 = 299.41/x
  3. Step 3: Cross multiply
    761.63x = 1,142.96 × 299.41
  4. Step 4: Simplify right side
    761.63x = 342,209.30
  5. Step 5: Solve for x
    x = 342,209.30/761.63
  6. Step 6: Final answer
    x = 449.31

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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.