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Finding the Fourth Proportional to 754.99, 1,132.19 and 304.05

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Solution

The fourth proportional to 754.99, 1,132.19 and 304.05 is: 455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.99 : 1,132.19 = 304.05 : x
  2. Step 2: Convert to fraction form
    754.99/1,132.19 = 304.05/x
  3. Step 3: Cross multiply
    754.99x = 1,132.19 × 304.05
  4. Step 4: Simplify right side
    754.99x = 344,242.37
  5. Step 5: Solve for x
    x = 344,242.37/754.99
  6. Step 6: Final answer
    x = 455.96

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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.