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Finding the Fourth Proportional to 754.59, 1,130.22 and 389.73

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Solution

The fourth proportional to 754.59, 1,130.22 and 389.73 is: 583.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.59 : 1,130.22 = 389.73 : x
  2. Step 2: Convert to fraction form
    754.59/1,130.22 = 389.73/x
  3. Step 3: Cross multiply
    754.59x = 1,130.22 × 389.73
  4. Step 4: Simplify right side
    754.59x = 440,480.64
  5. Step 5: Solve for x
    x = 440,480.64/754.59
  6. Step 6: Final answer
    x = 583.74

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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.