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Finding the Fourth Proportional to 1,225.29, 1,838.22 and 359.60

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Solution

The fourth proportional to 1,225.29, 1,838.22 and 359.60 is: 539.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.29 : 1,838.22 = 359.60 : x
  2. Step 2: Convert to fraction form
    1,225.29/1,838.22 = 359.60/x
  3. Step 3: Cross multiply
    1,225.29x = 1,838.22 × 359.60
  4. Step 4: Simplify right side
    1,225.29x = 661,022.11
  5. Step 5: Solve for x
    x = 661,022.11/1,225.29
  6. Step 6: Final answer
    x = 539.48

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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.