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Finding the Fourth Proportional to 1,649.91, 2,475.09 and 609.78

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Solution

The fourth proportional to 1,649.91, 2,475.09 and 609.78 is: 914.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.91 : 2,475.09 = 609.78 : x
  2. Step 2: Convert to fraction form
    1,649.91/2,475.09 = 609.78/x
  3. Step 3: Cross multiply
    1,649.91x = 2,475.09 × 609.78
  4. Step 4: Simplify right side
    1,649.91x = 1,509,260.38
  5. Step 5: Solve for x
    x = 1,509,260.38/1,649.91
  6. Step 6: Final answer
    x = 914.75

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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.