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Finding the Fourth Proportional to 1,364.29, 2,045.04 and 816.73

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Solution

The fourth proportional to 1,364.29, 2,045.04 and 816.73 is: 1,224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.29 : 2,045.04 = 816.73 : x
  2. Step 2: Convert to fraction form
    1,364.29/2,045.04 = 816.73/x
  3. Step 3: Cross multiply
    1,364.29x = 2,045.04 × 816.73
  4. Step 4: Simplify right side
    1,364.29x = 1,670,245.52
  5. Step 5: Solve for x
    x = 1,670,245.52/1,364.29
  6. Step 6: Final answer
    x = 1,224.26

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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.