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Finding the Fourth Proportional to 1,865.37, 2,798.05 and 566.84

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Solution

The fourth proportional to 1,865.37, 2,798.05 and 566.84 is: 850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.37 : 2,798.05 = 566.84 : x
  2. Step 2: Convert to fraction form
    1,865.37/2,798.05 = 566.84/x
  3. Step 3: Cross multiply
    1,865.37x = 2,798.05 × 566.84
  4. Step 4: Simplify right side
    1,865.37x = 1,586,046.66
  5. Step 5: Solve for x
    x = 1,586,046.66/1,865.37
  6. Step 6: Final answer
    x = 850.26

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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.