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Finding the Fourth Proportional to 1,234.52, 1,852.12 and 504.62

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Solution

The fourth proportional to 1,234.52, 1,852.12 and 504.62 is: 757.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.52 : 1,852.12 = 504.62 : x
  2. Step 2: Convert to fraction form
    1,234.52/1,852.12 = 504.62/x
  3. Step 3: Cross multiply
    1,234.52x = 1,852.12 × 504.62
  4. Step 4: Simplify right side
    1,234.52x = 934,607.53
  5. Step 5: Solve for x
    x = 934,607.53/1,234.52
  6. Step 6: Final answer
    x = 757.06

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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.