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Finding the Fourth Proportional to 761.68, 1,142.52 and 299.44

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Solution

The fourth proportional to 761.68, 1,142.52 and 299.44 is: 449.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.68 : 1,142.52 = 299.44 : x
  2. Step 2: Convert to fraction form
    761.68/1,142.52 = 299.44/x
  3. Step 3: Cross multiply
    761.68x = 1,142.52 × 299.44
  4. Step 4: Simplify right side
    761.68x = 342,116.19
  5. Step 5: Solve for x
    x = 342,116.19/761.68
  6. Step 6: Final answer
    x = 449.16

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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.