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Finding the Fourth Proportional to 761.98, 1,142.09 and 299.30

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Solution

The fourth proportional to 761.98, 1,142.09 and 299.30 is: 448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.98 : 1,142.09 = 299.30 : x
  2. Step 2: Convert to fraction form
    761.98/1,142.09 = 299.30/x
  3. Step 3: Cross multiply
    761.98x = 1,142.09 × 299.30
  4. Step 4: Simplify right side
    761.98x = 341,827.54
  5. Step 5: Solve for x
    x = 341,827.54/761.98
  6. Step 6: Final answer
    x = 448.60

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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.