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Finding the Fourth Proportional to 761.29, 1,142.44 and 299.01

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Solution

The fourth proportional to 761.29, 1,142.44 and 299.01 is: 448.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.29 : 1,142.44 = 299.01 : x
  2. Step 2: Convert to fraction form
    761.29/1,142.44 = 299.01/x
  3. Step 3: Cross multiply
    761.29x = 1,142.44 × 299.01
  4. Step 4: Simplify right side
    761.29x = 341,600.24
  5. Step 5: Solve for x
    x = 341,600.24/761.29
  6. Step 6: Final answer
    x = 448.71

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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.