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Finding the Fourth Proportional to 1,865.30, 2,798.42 and 566.78

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Solution

The fourth proportional to 1,865.30, 2,798.42 and 566.78 is: 850.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.30 : 2,798.42 = 566.78 : x
  2. Step 2: Convert to fraction form
    1,865.30/2,798.42 = 566.78/x
  3. Step 3: Cross multiply
    1,865.30x = 2,798.42 × 566.78
  4. Step 4: Simplify right side
    1,865.30x = 1,586,071.66
  5. Step 5: Solve for x
    x = 1,586,071.66/1,865.30
  6. Step 6: Final answer
    x = 850.30

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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.