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Finding the Fourth Proportional to 1,225.40, 1,838.16 and 359.73

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Solution

The fourth proportional to 1,225.40, 1,838.16 and 359.73 is: 539.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.40 : 1,838.16 = 359.73 : x
  2. Step 2: Convert to fraction form
    1,225.40/1,838.16 = 359.73/x
  3. Step 3: Cross multiply
    1,225.40x = 1,838.16 × 359.73
  4. Step 4: Simplify right side
    1,225.40x = 661,241.30
  5. Step 5: Solve for x
    x = 661,241.30/1,225.40
  6. Step 6: Final answer
    x = 539.61

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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.