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Finding the Fourth Proportional to 1,865.23, 2,798.24 and 566.80

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Solution

The fourth proportional to 1,865.23, 2,798.24 and 566.80 is: 850.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.23 : 2,798.24 = 566.80 : x
  2. Step 2: Convert to fraction form
    1,865.23/2,798.24 = 566.80/x
  3. Step 3: Cross multiply
    1,865.23x = 2,798.24 × 566.80
  4. Step 4: Simplify right side
    1,865.23x = 1,586,042.43
  5. Step 5: Solve for x
    x = 1,586,042.43/1,865.23
  6. Step 6: Final answer
    x = 850.32

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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.