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Finding the Fourth Proportional to 1,650.24, 2,475.69 and 539.97

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Solution

The fourth proportional to 1,650.24, 2,475.69 and 539.97 is: 810.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.24 : 2,475.69 = 539.97 : x
  2. Step 2: Convert to fraction form
    1,650.24/2,475.69 = 539.97/x
  3. Step 3: Cross multiply
    1,650.24x = 2,475.69 × 539.97
  4. Step 4: Simplify right side
    1,650.24x = 1,336,798.33
  5. Step 5: Solve for x
    x = 1,336,798.33/1,650.24
  6. Step 6: Final answer
    x = 810.06

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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.