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Finding the Fourth Proportional to 1,225.66, 1,838.82 and 523.18

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Solution

The fourth proportional to 1,225.66, 1,838.82 and 523.18 is: 784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.66 : 1,838.82 = 523.18 : x
  2. Step 2: Convert to fraction form
    1,225.66/1,838.82 = 523.18/x
  3. Step 3: Cross multiply
    1,225.66x = 1,838.82 × 523.18
  4. Step 4: Simplify right side
    1,225.66x = 962,033.85
  5. Step 5: Solve for x
    x = 962,033.85/1,225.66
  6. Step 6: Final answer
    x = 784.91

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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.