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Finding the Fourth Proportional to 1,493.52, 2,239.50 and 505.98

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Solution

The fourth proportional to 1,493.52, 2,239.50 and 505.98 is: 758.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.52 : 2,239.50 = 505.98 : x
  2. Step 2: Convert to fraction form
    1,493.52/2,239.50 = 505.98/x
  3. Step 3: Cross multiply
    1,493.52x = 2,239.50 × 505.98
  4. Step 4: Simplify right side
    1,493.52x = 1,133,142.21
  5. Step 5: Solve for x
    x = 1,133,142.21/1,493.52
  6. Step 6: Final answer
    x = 758.71

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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.